Question

Justin is 3 years older then Sam, and Justin’s age in 2 years will be twice what Sam’s age was 3 years ago. Find their present ages.

Answer 1

Present age of Justin=14

Present age of Sam=11

Explanation:

Let the present age of Sam=x

Given that Justin is 3 years older than Sam

present age of Justin=x+3

Age of Sam 3 years ago=x-3

Age of Justin two years hence=x+3+2=x+5

given that after 2 years Justin's age will be twice that of Sam's age three years ago

therefore

Present age of Sam=x=11

Present age of Justin=x+3=11+3=14

Explanation:

Answer 2

Present age of Justin=14

Present age of Sam=11

Explanation:

Let the present age of Sam=x

Given that Justin is 3 years older than Sam

present age of Justin=x+3

Age of Sam 3 years ago=x-3

Age of Justin two years hence=x+3+2=x+5

given that after 2 years Justin's age will be twice that of Sam's age three years ago

therefore

`x+5=2(x-3)x+5=2x-6\\5+6=2x-x=x\\11=x`

Present age of Sam=x=11

Present age of Justin=x+3=11+3=14