Question

In five years time, ali will be 3/2 times as old as steven. ten years ago, ali was 2 times as old as steven. how old will they be in ten years time?

Answer 1

A + 5 = 3/2(S + 5)
A + 5 = 3/2S + 15/2
A = 3/2S + 15/2 - 5
A = 3/2S + 15/2 - 10/2
A = 3/2S + 5/2

A - 10 = 2(S - 10)
3/2S + 5/2 - 10 = 2S - 20 (multiply 2 on both sides)
3S + 5 - 20 = 4S - 40
3S - 15 = 4S - 40
-15 + 40 = 4S - 3S
S = 25

A = 3/2S + 5/2
A = 3/2 × 25 + 5/2
A = 75/2 + 5/2
A = 80/2
A = 40

A + 10 = 40 + 10 = 50 y.o.
S + 10 = 25 + 10 = 35 y.o.