Question

Sushma is now 15 years older than Vijay but in 3 more years she will be 8 times as old as which vijay was 3 years ago how old are they

Answer 1

Let Vijay present age be x
∴the present age of sushma=(x+15)years
(x+15)+3=3(x+8)
⇒x+18=3x+24
⇒8x-x=18+24
∴7x=42
x=42÷7=6
∴x=6
Vijay present age=6years
sushma present age=15+x=15+6=21years

Answer 2

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