SOLUTION: The sum of the ages of Gregory and Marissa is 60 years.6 years ago, Gregory's age was 2 times Marissa's age. How old is Gregory now?

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Question 990937: The sum of the ages of Gregory and Marissa is 60 years.6 years ago, Gregory's age was 2 times Marissa's age. How old is Gregory now?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of the ages of Gregory and Marissa is 60 years.
So G + M = 60

6 years ago, Gregory's age was 2 times Marissa's age. How old is Gregory now?
6 years ago Gregory was G-6 and Marissa was M-6.

So G-6 equals 2 times M-6.

So the second equation is G-6 = 2(M-6)

So solve the system of equations by first simplifying the second equation:

system%28G%2BM=60%2CG-6=2%28M-6%29%29 

G=38, M=22

Edwin