Question

Randy is 14 years old and his mother is 36 years old. In how many years will Randy's mother be twice as old as he is?

Answer 1

IN 8 years time.

Explanation:

Let the number of years be `x`

In `x` years time, Randy will be `14+x` years old.
In `x` years time, his mother will be `36+x` years old.

At that time in the future her age will be twice his age.

(2 x younger age = older age)

`2(14+x) = 36+x`

`28+2x = 36+x`

`2x - x = 36-28`

`x = 8`

Check: Im 8 years time:
Randy will be 14+8 = 22
Mother will be 36+8 = 44

2x22 = 44!