Question

The number.

the original
by
1. 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

Vijay is 6 and Sushma is 21.

Explanation:

Let's set up a system of equations for this question.

Let S be Sushma's age and V be Vijay's age.

`S = 15 + V`

`S + 3 = 8(V - 3)`

Manipulate the second equation to isolate S:

`S + 3 = 8(V - 3)`

`S + 3 = 8V - 24`

`S = 8V - 24 - 3`

`S = 8V - 27`

Plug in the second equation into the first:

`8V - 27 = 15 + V`

`8V - V = 15 + 27`

`7V = 42`

`V = 6`

`S = 15 + V`

`S = 21`

Hope this helped!