NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable (EX 2.4) Exercise 2.4
Mathematics is a subject that is important to students in all aspects of their lives, not just school. Students will benefit from having a strong understanding of Mathematics not only in school but also in their everyday lives. Due to the fact that students study a variety of crucial concepts with numerous applications, Mathematics is extremely important in Class 8. Students can build a strong foundation for their future studies by learning Mathematics properly and scoring well on exams. For students in Class 8, Mathematics is one of the most important and fundamental subjects. Some students in Class 8 consider it to be the most challenging subject. Mathematics requires a thorough understanding of the concepts as well as regular practice with problems. In most cases, students comprehend and remember every concept in the curriculum, but they do not practice many questions. They are consequently at a disadvantage when taking the annual exams. They must therefore thoroughly practice the exercises from the NCERT textbook. These books are typically the main source of teaching in most schools, as recommended by the CBSE. This makes NCERT solutions more necessary. NCERT solutions are essential for secondary classes, like Class 8, when preparing for the annual exams. Extramarks offers NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, and other study modules to give students plenty of practice prior to the annual exams.
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CBSE NCERT Solutions for Class 8 Maths Chapter 2 – Exercise 2.4
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Important Topics under NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable (EX 2.4) Exercise 2.4
Class 8 Maths Chapter 2 Exercise 2.4, includes questions based on some applications of Linear Equations in One Variable. This exercise primarily covers linear equations with variables on both sides. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, greatly reduces students’ burden as they attempt to solve these questions. The problems presented in this exercise have clear solutions in the Extramarks provided NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, are written by knowledgeable subject experts with consideration for students’ level of comprehension in Class 8. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, are written using the most recent curriculum that the CBSE has approved for use in Class 8. As a result, students no longer need to search for reliable solutions elsewhere or worry about the syllabus. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, are a one-stop destination for Class 8 students to find thorough, trustworthy solutions to all of the exercises’ questions.
Key Learnings from NCERT Solutions for Class 8 Math Chapter 2 Linear Equations in One Variable (EX 2.4) Exercise 2.4
Class 8 Maths Chapter 2.4 contains crucial questions for students to learn to solve various types of mathematical problems. Practising these questions will help students learn to apply linear equations to real-life problems. Students can learn to form linear equations from real-life situations and subsequently solve them to find the solution. Since the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, are written in a simpler language that all students can understand, they are helpful for students getting ready for their Class 8 annual exams. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, have been written in a step-by-step fashion to aid students in scoring good marks in their exams. In order to prevent students from being forced to look elsewhere for the concepts covered by the syllabus or the distribution of marks, the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4 have been created in accordance with the most recent syllabus. The solutions follow each CBSE guideline. All of the problems in this exercise are addressed in the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, and are also completely error-free. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, can help students prepare for exams by helping them answer questions like these quickly and correctly. As they are written in an easy-to-understand manner, the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4 provided by Extramarks will suffice to help students solve the NCERT questions. Using the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, will help students apply the concepts from Chapter 2 more accurately and easily. Highly skilled teachers, who have taken into account the comprehension potential of Class 8 students, have created the precise and error-free NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4. The exercises’ problems have been divided into smaller, more manageable steps to facilitate writing answers. Examiners frequently stress the importance of providing stepwise answers in exams. Students should use the stepwise solutions in the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, to get perfect scores on their annual exams.
Importance of Linear Equations in One Variable
Linear Equations in One Variable are one of the most important concepts in Mathematics. Not only in Mathematics, linear equations are used in many other fields of study, such as Physics, Chemistry, Economics, Biology, etc. They are useful for various types of problems in daily life. Linear equations are used to solve a wide range of problems, such as problems on ages, numbers, area, perimeter, cost, etc. Students need to have the best study resources available to understand these concepts. Due to the fact that Extramarks provides a 360-degree solution for all of their study needs, students do not need to worry about looking for the appropriate resources. Students learn a lot of new concepts about Linear Equations in this chapter. Some of these are initially difficult to grasp. But students can get better at these with consistent practice. The 3D animations provided by Extramarks help students understand each topic better. Through the use of the chapter-wise worksheets and practice questions provided by Extramarks, they can understand all the concepts required by the curriculum. Students should usually check the CBSE syllabus to be aware of the topics they need to study. They should read each chapter of the textbook in detail to understand the concepts of linear equations and their applications. They should attempt to answer every question in the exercises of the textbook. Students can practice the exercises with the help of Extramarks’ NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4.
Access NCERT solutions for Math Chapter 2 – Linear Equations in One
On the Extramarks website and mobile application, students looking for the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, can easily find them. The solutions are available for students to access and download in PDF format. The CBSE curriculum is strictly followed in the NCERT textbooks. The majority of exam questions are usually drawn from the NCERT textbook. Hence, students must diligently practice the exercises in order to do well on their exams. Moreover, Extramarks offers access to the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4. The solutions provided by Extramarks have been created by the website’s internal subject-matter experts in accordance with the CBSE curriculum. The solutions provided to the students have been verified as accurate by teachers as well.
Exercise 2.4 NCERT Solutions Class 8 Maths Chapter 2
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NCERT Solutions Class 8 Math Chapter 2 All Exercises
Chapter 2 of the Class 8 Mathematics textbook contains six exercises. The solutions to all of the exercises can be found on the Extramarks website. Additionally, there are a number of different examples that students can find to aid them in resolving the exercises’ questions. By completing all these exercises, students can learn various strategies for solving linear equations. To be thorough with this chapter and earn better grades, students should complete all the exercises. The most crucial resource for practising questions for the CBSE Class 8 exams is NCERT exercises. Therefore, it is always recommended for students to solve the questions from the NCERT textbook. In order to verify their answers, they also require accurate solutions to the questions. Therefore, students can get the assistance they require from the NCERT solutions through Extramarks as they get ready for their exams. Using NCERT solutions such as the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4 will help students more accurately and easily apply the concepts covered in Chapter 2 to each problem in the exercises. Multiple highly qualified teachers have created the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, maintaining accuracy and eliminating errors. Students should follow the step-by-step instructions in the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, in order to get excellent grades on exams. Some methods of solving Linear Equations provided in the NCERT textbook are difficult for many students to understand and remember, which prevents them from using them to answer the questions in the exercises. However, if they practice the stepwise solutions in the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, it will be easier for them to fully understand the methods and use them correctly. Since they will be aware of the proper methods for approaching the problems, this can give the students an advantage in their exams. Due to Extramarks’ meticulous preparation of the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, students in Class 8 can comprehend the questions completely even if they are attempting them for the first time. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4 by Extramarks also offer alternate and easier solutions to some problems in the exercises, making it easier for students to solve difficult problems.
Understanding Concepts of Linear Equations
An all-inclusive answer to a student’s educational needs is provided by Extramarks. Although NCERT textbooks make excellent study resources, it can be difficult for students to locate reliable NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4. The answers to the questions are given in the NCERT textbook, but their detailed step-by-step solutions are not. Students must understand the methodology used to arrive at the answers while responding to the questions on linear equations. Students must write down each step used in solving an equation when answering exam questions if they want to receive maximum marks. Students who have access to the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, can assess their own understanding of the concepts of Linear Equations and better understand their strong and weak areas.
Solutions for Linear Equations in One Variable NCERT Questions
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NCERT Solutions Prepared Following the Latest CBSE Curriculum
All CBSE students are required to read the NCERT textbooks in their entirety. Students must follow the latest CBSE curriculum while studying. To get the most marks possible, they should structure their answers according to the CBSE’s marking guidelines. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, are developed by teachers with extensive experience in CBSE exams. When producing the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, they took into account the latest CBSE curriculum. According to the latest CBSE curriculum, the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4, are frequently revised and updated. Hence, the latest curriculum changes implemented by the CBSE should not cause students any concern.
Free PDF Download Class 8 NCERT Solutions of All Subjects
At Extramarks, NCERT solutions are available for all the subjects that students are required to study in Class 8. Although NCERT solutions are available online, having an internet connection is essential. Hence, NCERT solutions in PDF format should be available to students who want to keep learning. Extramarks provides a complete answer to this issue. NCERT solutions for all subjects can be found in PDF format at Extramarks. The NCERT solutions can hence be downloaded for offline access. The NCERT solutions from Extramarks are precise and thorough. Additionally, it gives students access to a comprehensive learning solution that combines the advantages of live classrooms with study materials like NCERT solutions.
NCERT Solutions for Class 8
NCERT solutions for other chapters, in addition to the NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.4, are available on Extramarks. For each of the 16 chapters in the Class 8 NCERT textbook for Mathematics, students can find comprehensive and in-depth NCERT solutions on Extramarks. Complete solutions to all of the exercises’ questions have been provided. Students are frequently advised by teachers to solve NCERT exercises as part of their homework. Students face a variety of obstacles as they attempt to answer the questions. Sometimes they are unable to complete the exercises. However, students can complete the exercises with ease if they have access to NCERT solutions, such as the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4. Students can move on to other subjects after finishing the exercises as per schedule. Since the answers are provided in straightforward language, students can easily understand them and use the methods to solve the problems. In addition to Mathematics, NCERT solutions are available on Extramarks for a number of other subjects. Students can complete their studies in all subjects using the NCERT solutions available on Extramarks.
Q.1
Ans
Let the number be x.
According to the given question,
8x − 20 = 3x
Transposing 3x to L.H.S and −20 to R.H.S, we obtain
8x − 3x = 20
5x = 20
On dividing both sides by 5, we get
x = 4
Hence, the number is 4.
Q.2 A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)
Ans
Let the numbers be x and 5x.
Q.3 Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
Ans
Let the digits at tens place and ones place be x and 9 − x respectively.
Therefore, original number = 10x + (9 − x) = 9x + 9
On interchanging the digits, the digits at ones place and tens place will be x and 9 − x respectively.
Therefore, new number after interchanging the digits = 10(9 − x) + x
= 90 − 10x + x
= 90 − 9x
According to the given question,
New number = Original number + 27
90 − 9x = 9x + 9 + 27
90 − 9x = 9x + 36
Transposing 9x to R.H.S and 36 to L.H.S, we obtain
90 − 36 = 18x
54 = 18x
Dividing both sides by 18, we obtain
3 = x and 9 − x = 6
Hence, the digits at tens place and ones place of the number are 3 and 6 respectively.
Therefore, the two-digit number is 9x + 9
= 9 × 3 + 9
= 36
Q.4 One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
Ans
Q.5 Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present ages?
Ans
Let Shobo’s age be x years.
His mother’s age will be 6x years.
According to the given question, the equation becomes
:
Multiplying both sides by 3
Therefore, the present ages of Shobo and his mother will be 5 years and 30 years.
Q.6 There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate ₹100 per metre it will cost the village panchayat ₹ 75000 to fence the plot. What are the dimensions of the plot?
Ans
Let the ratio between the length and breadth of the rectangular plot be x.
Hence, the length and breadth of the rectangular plot will be 11x m and 4x m respectively.
Perimeter of the plot = 2(Length + Breadth)
It is given that the cost of fencing the plot at the rate of ₹ 100 per metre is ₹ 75, 000.
100 × Perimeter = 75000
100 × 30x = 75000
3000x = 75000
Dividing both sides by 3000, we obtain
x = 25
Therefore, Length = 11x m = (11 × 25) m = 275 m
and Breadth = 4x m = (4 × 25) m = 100 m
Hence, the dimensions of the plot are 275 m and 100 m.
Q.7 Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him ₹ 50 per metre and trouser material that costs him ₹ 90 per metre. For every 3 meters of the shirt material he buys 2 metres of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs 36,600. How much trouser material did he buy?
Ans
Let the trouser and shirt material bought by Hasan be 2x and 3x .
The selling price of trouser material is
The selling price of Shirt material is
Total sale =36,600
Q.8 Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.
Ans
Let the number of deer be x.
Number of deer grazing in the field = x / 2
Remaining deer= x – (x / 2)
Therefore, number of deer playing nearby is
The rest 9 are drinking water from the pond, so the equation becomes:
Therefore, the total number of deer in the herd is 72.
Q.9 A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.
Ans
Let the granddaughter’s age be x years.
Therefore, grandfather’s age will be 10x years.
According to the question, the equation becomes:
10x = x + 54
Transposing x to L.H.S, we obtain
10x − x = 54
9x = 54
x = 6
Granddaughter’s age = x years = 6 years
Grandfather’s age = 10x years
= (10 × 6) years
= 60 years
Therefore, the grandfather’s age is 60 years and granddaughter’s age is 6 years.
Q.10 Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.
Ans
Let Aman’s son’s age be x years.
Therefore, Aman’s age will be 3x years.
Ten years ago, their age was (x − 10) years and (3x − 10) years.
According to the question, the equation is:
Therefore,
Aman’s son’s age is 20 years and
Aman’s age = 3 × 20 years = 60 years.
FAQs (Frequently Asked Questions)
1. Where are the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4 available for Class 8 students to access?
Students can find the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4 on the Extramarks website and mobile app. The NCERT solutions are available online in PDF format for students to download. This makes the solutions available offline so that students can use them whenever and wherever they like without being connected to the internet.
2. Are the concepts under the NCERT Class 8 Maths Chapter 2 Exercise 2.4 clarified by the NCERT solutions?
For students in Class 8, NCERT solutions are crucial for exam preparation. In order to prepare for the annual exams, students can use learning modules like the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4. Students can develop the ability to respond to any question of a similar nature that appears in the exam by becoming more familiar with the steps and procedure.
3. When preparing for the board exams, how should students use the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4?
The chapter’s concepts should be studied in full by the students first. Then they must go over the textbook examples. This will teach them various approaches to problem-solving in this chapter. After successfully completing the examples, they should attempt the questions in the exercises. They must attempt to resolve problems without using the Class 8 Maths Chapter 2 Exercise 2.4 Solutions. When finished, they should compare their answers to the Extramarks given NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.4.
