justin is 15 years older than his sister emily, in six years he will be double her age. what are their current ages

Question

justin is 15 years older than his sister emily, in six years he will be double her age. what are their current ages

Answer 1

Let x = Emily's age now

Then, x+15 = Justin's age now

x+6 = Emily's age in 6 years

x+21 = Justin's age in 6 years

So, x+21 = 2(x+6)

x+21 = 2x+12

x = 9

Emily is 9 and Justin is 24.