SOLUTION: Marie is one-ninth as old as her mother. In 3 years, she will be one-fifth as old as her mother will be then. Find their present ages.

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Question 401396: Marie is one-ninth as old as her mother. In 3 years, she will be one-fifth as old as her mother will be then. Find their present ages.
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
If Mary now is x years old, then her mom is 9x years old
In 3 years Mary will be %28x%2B3%29 years old, then her mom will be 5%28x%2B3%29 years old
If now mom is 9x years old, then in 3 year she will 9x%2B3 years old
Equation
5%28x%2B3%29=9x%2B3
5x%2B15=9x%2B3
5x-9x=3-15
-4x=-12
x=%28-12%29%2F%28-4%29
x=3
Mary now is 3 years old, her mom now is 9%2A3=27 years old
Answer: 3 and 27