SOLUTION: Helen is 1/3 as old as her mother is now. In 10 years she will be half as old as her mother in ten years. How old is Helen now?

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Question 464520: Helen is 1/3 as old as her mother is now. In 10 years she will be half as old as her mother in ten years. How old is Helen now?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Helen is 1/3 as old as her mother is now. In 10 years she will be half as old as her mother in ten years. How old is Helen now?
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Equations:
h = (1/3)m
m = 3h
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(h+10) = (1/2)(m+10)
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Substitute for m and solve for "h"
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h+10 = (1/2)(3h+10)
2h+20 = 3h+10
h = 10 yrs (Helen's age now)
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Cheers,
Stan H.