R s aggarwal solutions mathematics class 6 Solutions for Chapter 9 linear equations in one variable

Write each of the following statements as an equation:

(i) 5 times a number equals 40.

(ii) A number increased by 8 equals 15.

(iii) 25 exceeds a number by 7.

(iv) A number exceeds 5 by 3.

(v) 5 subtracted from thrice a number is 16.

(vi) If 12 is subtracted from a number, the result is 24.

(vii) Twice a number subtracted from 19 is 11.

(viii) A number divided by 8 gives 7.

(ix) 3 less than 4 times a number is 17.

(x) 6 times a number is 5 more than the number.

Write a statement for each of the equations, give below:

(i) x – 7 = 14

(ii) 2y = 18

(iii) 11 + 3x = 17

(iv) 2x – 3 = 13

(v) 12y – 30 = 6

(vi) 2z / 3 = 8

Solve each of the following equations and verify the answer in each case:

x+ 5 = 12

Solve each of the following equations and verify the answer in each case:

x + 3 = -2

Solve each of the following equations and verify the answer in each case:

x – 7 = 6

Solve each of the following equations and verify the answer in each case:

x – 2 = -5

Solve each of the following equations and verify the answer in each case:

3x – 5 = 13

Solve each of the following equations and verify the answer in each case:

4x + 7 = 15

Solve each of the following equations and verify the answer in each case:

x / 5 = 12

Solve each of the following equations and verify the answer in each case:

3x / 5 = 15

Solve each of the following equations and verify the answer in each case:

5x – 3 = x + 17

Solve each of the following equations and verify the answer in each case:

2x – 1 / 2 = 3

Solve each of the following equations and verify the answer in each case:

3(x + 6) = 24

Solve each of the following equations and verify the answer in each case:

6x + 5 = 2x + 17

Solve each of the following equations and verify the answer in each case:

x / 4 – 8 = 1

If 9 is added to a certain number, the result is 36. Find the number.

If 11 is subtracted from 4 times a number, the result is 89. Find the number.

Find a number which when multiplied by 5 is increased by 80.

The sum of three consecutive natural numbers is 114. Find the numbers.

When Raju multiplies a certain number by 17 and adds 4 to the product, he gets 225. Find the number.

If the number is tripled and the result is increased by 5, we get 50. Find the number.

Find two numbers such that one of them exceeds the other by 18 and their sum is 92.

One out of two numbers is thrice the other. If their sum is 124, find the numbers.

Find two numbers such that one of them is five times the other and their difference is 132.

The sum of two consecutive even numbers is 74. Find the numbers.

The sum of three consecutive odd numbers is 21. Find the numbers.

Reena is six-year older than her brother Ajay. If sum of their ages is 28 years, what are their present ages?