Question

find the value of the variable in each case (1) -a/7 =16/-28​

Answer 1

Step-by-step explanation:

(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:

(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

x

8

.

∴

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