Question

Sam's mother is twice Sam's age. in 5 years she will be three times older than Sam was 5 years ago. How old are they each now?

Answer 1

Mom: 40years

Son: 20years

Explanation:

Now +5Years

Son p years (p + 5) years

Mom 2p years (2p + 5) years

3(p - 5) years = 2p + 5 years

3p - 15 years = 2p + 5 years

3p - 2p years = 5 + 15 years

p years = 20 years

p = 20 years

Now +5Years

Son 20 years (5 + 20) years

Mom 2(20)years (2p + 5) years

Now +5Years

Son 20 years 25 years

Mom 40years 45 years