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

Answer:

Mom: 40years

Son: 20years

Step-by-step 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