Algebra is one of the core pillar of the mathematics. It is covered in almost all classes from middle school to college math. Algebra, we know covers the creating algebraic expressions and solving for unknown variable, after applying various arithmetic operations on it. Linear equations or Simple equations is one of the starting point of algebra, where we covers solving the unknown equations having single variable.

Grade 8 Linear equations in one variable chapter covers the detailed coverage of this topic, including studying its properties, and doing necessary operations to simplifying the equations, and then solving to get the value of unknown variable. This chapter has been best covered in Class 8 Maths NCERT book, which give real life examples of linear equations with one variable, and cover all the sections thoroughly.

NCERT books are recommended course text books for students following Indian curriculum. They have been followed by CBSE and all other major school boards in India and abroad. Almost all of the public and private schools recommend this books to their students.

In this article, we have discussed about the Class 8 maths NCERT exercises. We have provided detailed video solutions of NCERT problems for Class 8. Students can look into solved NCERT exercises for class 8 mathematics.

Though Linear equations in one variable chapter looks easy, but many students make mistake in forming the correct equations by understanding the problem clearly. These solved NCERT problems for class 8 will help in clearing the concepts of rational numbers, and also make student understand in how to avoid common mistakes in linear equations in one variable chapters.

## Class 8 math ncert solution linear equations in one variable chapter

**Exercise 2.1 solutions**

Q1 – Solve the following equations. View Answer

**Exercise 2.2**

Q1 – If you subtract 1/2 from a number and multiply the result by 1/2, you get1/8. What is the number? View Answer

Q2 – The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool View Answer

Q3 – The base of an isosceles triangle is 4/3 cm. The perimeter of the triangle is 4 2/15 cm. What is the length of either of the remaining equal sides? View Answer

Q4 – Sum of two numbers is 95. If one exceeds the other by 15, find the numbers. View Answer

Q5 – Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers? View Answer

Q6 – Three consecutive integers add up to 51. What are these integers? View Answer

Q7 – The sum of three consecutive multiples of 8 is 888. Find the multiples View Answer

Q8 – Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers View Answer

Q9 – The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages? View Answer

Q10 – The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength? View Answer

Q11 – Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them? View Answer

Q12 – Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age? View Answer

Q13 – A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. What is the number? View Answer

Q14 – Lakshmi is a cashier in a bank. She has currency notes of denominations Rs 100, Rs 50 and Rs 10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs 4,00,000. How many notes of each denomination does she have? View Answer

Q15 – I have a total of Rs 300 in coins of denomination Rs 1, Rs 2 and Rs 5. The number of Rs 2 coins is 3 times the number of Rs 5 coins. The total number of coins is 160. How many coins of each denomination are with me? View Answer

Q16 – The organisers of an essay competition decide that a winner in the competition gets a prize of Rs 100 and a participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3,000. Find the number of winners, if the total number of participants is 63 View Answer

**Exercise 2.3**

Q – Solve the following equations and check your result View Answer

**Exercise 2.4**

Q1 – Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number? View Answer

Q2 – 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? View Answer

Q3 – 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? View Answer

Q4 – 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? View Answer

Q5 – 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? View Answer

Q6 – 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 Rs 100 per metre it will cost the village panchayat Rs 75000 to fence the plot. What are the dimensions of the plot? View Answer

Q7 – Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 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? View Answer

Q8 – 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. View Answer

Q9 – A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages. View Answer

Q10 – 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 View Answer

**Exercise 2.5**

Q1 – Solve the following linear equations. View Answer

Q2 – Simplify and solve the following linear equations View Answer

**Exercise 2.6**

Q1 – Solve the following equations. View Answer

Q2 – The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages. View Answer

Q3 – The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. Find the rational number View Answer

## End Note

In the article, we have shared solutions for ncert exercises for class 8 maths for linear equations in one variable chapter. Students can click to respective chapters and refer to the right solution. We advise students to refer to them as clearing their concepts, and matching their solutions. Student should not use them to copy solutions for their homework and instead should try to solve homework on own, as it will impact their learning process.

In case you have any doubts regarding solution, or need further clarification, you can write to us. You can also reach out to us, in case you have doubt in other text books’ problems or school exam papers. We will be glad to assist you in helping with your doubt.

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