Question

Four years ago, Ana's age was double Rodricks age. In four years, they will both

add up to 56 years old. What ages are they right now?

Answer 1

Rod is 17-1/3 and Ana is 30-2/3

Explanation:

let x = Rod's age now

then Rod's age 4 years ago was x - 4 and Ana's age then was 2(x-4)

therefore Ana's age now is 2(x - 4) + 4 = 2x - 8 + 4 = 2x - 4

In four years Rod will be x + 4 and Ana will be 2x - 4 + 4 = 2x

Now x + 4 + 2x = 56

3x + 4 = 56

3x = 52

x = 17-1/3 = Rod's age

2x - 4 = 2(14) - 4 = 26-2/3 = Ana's age

Check: in 4 years Rod will be 21-1/3 and Ana will be 34-2/3

21-1/3 +34-2/3 = 56