Question

11. Sushma is now 15 years older than Vijay but in 3 more years she will be 8 times as old as Vijay was 3
years ago. How old are they

Answer 1

Step-by-step explanation:

Let Vijay's present age be 'x'.

Then, Sushma's present age will be X+15

Sushma's age after 3 years will be [(X+15) + 3] = X+18

Vijay's age 3 years ago was X-3

Given, Sushma's age 3 years from now will be equal to 8 times of what Vijay's age was 3 years back.

Therefore, X+18 = 8 (X-3)

X + 18 = 8X - 24

8X - X = 18 + 24

7X = 42

X = 6

Therefore, their present ages are as follows:

Vijay is 6 years old.

Sushma is 21 years old.

Answer 2

Step-by-step explanation:

Let Vijay's present age be x

Sushma's present age = 15+x

Sushma's age after 3 years = 8x

3 (15+x) = 8x

45+3x = 8x

45 = 8x-3x

45 = 5x

x = 45÷5

x = 9

Vijay's present age = 9 years

Sushma's present age = 15+x

= 15+9

= 24 years

Hope it helps you! Wishing you good luck! Study well and top your class this year!