Question

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 now?

I want full explanation clearly (please)

Answer 1

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 - 248X - X = 18 + 247X = 42X = 6
Therefore, their present ages are as follows:
Vijay is 6 years old.
Sushma is 21 years old.

Hope u will understand this explanation.