Question

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.

Answer 1

(i) Let the required number be x.
So, five times the number will be 5x.
∴ 5x = 40

(ii) Let the required number be x.
So, when it is increased by 8, we get x + 8.
∴ x + 8 = 15

(iii) Let the required number be x.
So, when 25 exceeds the number, we get 25 $-$ x.
∴ 25 $-$ x = 7

(iv) Let the required number be x.
So, when the number exceeds 5, we get x $-$ 5.
∴ x $-$ 5 = 3

(v) Let the required number be x.
So, thrice the number will be 3x.
∴ 3x $-$ 5 = 16

(vi) Let the required number be x.
So, 12 subtracted from the number will be x $-$ 12.
∴ x $-$ 12 = 24

(vii) Let the required number be x.
So, twice the number will be 2x.
∴ 19 $-$ 2x = 11

(viii) Let the required number be x.
So, the number when divided by 8 will be $\frac{x}{8}$.
∴ $\frac{x}{8}$ = 7

(ix) Let the required number be x.
So, four times the number will be 4x.
∴ 4x $-$ 3 = 17

(x) Let the required number be x.
So, 6 times the number will be 6x.
∴ 6x = x + 5