# RS Aggarwal Solutions for Class 6 Chapter 9 Linear Equations in One Variable Exercise 9A

RS Aggarwal Solutions for Class 6, Chapter 9 Linear Equations in One Variable, are here for free download by students. An equation in which the highest power of the Variables is 1 is called a Linear Equation. By using the trial and error method, if LHS = RHS for a particular value of the variable, we say that it is the root of the equation. BYJUâ€™S experts have solved RS Aggarwal Solutions for students which are easy to grasp. The accurate answers present in RS Aggarwal Solutions makes learning possible with fun.

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1. 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.

Solution

(i) Let required number be x

5 times a number = 5x

âˆ´ 5 times a number equals 40 can be written as 5x = 40

(ii) Let the number be x

A number increased by 8 = x + 8

âˆ´ A number increased by 8 equals 15 can be written as x + 8 = 15

(iii) Let the number be x

25 exceeds a number = 25 â€“ x

âˆ´ 25 exceeds a number by 7 can be written as 25 â€“ x = 7

(iv) Let the required number be x

A number exceeds 5 = x â€“ 5

âˆ´ A number exceeds 5 by 3 can be written as x â€“ 5 = 3

(v) Let the required number be x

Thrice a number = 3x

5 subtracted from thrice a number = 3x â€“ 5

âˆ´ 5 subtracted from thrice a number is 16 can be written as 3x â€“ 5 = 16

(vi) Let the number be x

12 subtracted from a number = x – 12

âˆ´ If 12 is subtracted from a number, the result is 24 can be written as x â€“ 12 = 24

(vii) Let the number be x

Twice a number = 2x

Twice a number subtracted from 19 = 19 â€“ 2x

âˆ´ Twice a number subtracted from 19 is 11 can be written as 19 â€“ 2x = 11

(viii) Let the number be x

A number divided by 8 = x / 8

âˆ´ A number divided by 8 gives can be written as x / 8 = 7

(ix) Let he number be x

4 times a number = 4x

3 less than 4 times a number = 4x â€“ 3

âˆ´ 3 less than 4 times a number is 17 can be written as 4x â€“ 3 = 17

(x) Let the number be x

6 times a number = 6x

5 more than the number = x + 5

âˆ´ 6 times a number is 5 more than the number can be written as 6x = x + 5

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

(i) x â€“ 7 = 14

(ii) 2y = 18

(iii) 11 + 3x = 17

(iv) 2x â€“ 3 = 13

(v) 12y â€“ 30 = 6

(vi) 2z / 3 = 8

Solutions

(i)The statement of equation x â€“ 7 = 14 can be written as 7 less from the number x is 14

(ii) The statement of equation 2y = 18 can be written as twice a number y is 18

(iii) The statement of equation 11 + 3x = 17 can be written as 11 increased by thrice a number x is 17

(iv) The statement of equation 2x â€“ 3 = 13 can be written as 3 less from twice the number x is 13

(v) The statement of equation 12y â€“ 30 = 6 can be written as 12 times the number y decreased by 30 is 6

(vi) The statement of equation 2z / 3 = 8 can be written as twice the number z divided by 3 is 8