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

Answer:

Vijay is 6 and Sushma is 21.

Step-by-step 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!