SOLUTION: A mother is three times as old as her son. After 15 years she will be twice as old as her son. What is the present age in years of the mother?

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Question 343846: A mother is three times as old as her son. After 15 years she will be twice as old as her son. What is the present age in years of the mother?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
M=3S
In 15 years, she'll be M+15 and he'll be S+15
M%2B15=2%28S%2B15%29
M%2B15=2S%2B30
M=2S%2B15
Substitute from the first equation.
3S=2S%2B15
highlight%28S=15%29years old
Then from the first equation,
M=3%2815%29
highlight%28M=45%29 years old