SOLUTION: Anton is twice as old as his wife Marie. Eight years ago, Anton was eight years younger than three time's Marie's age. How old is Marie now?

Question 508405: Anton is twice as old as his wife Marie. Eight years ago, Anton was eight years younger than three time's Marie's age. How old is Marie now?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Anton is twice as old as his wife Marie. Eight years ago, Anton was eight years younger than three time's Marie's age. How old is Marie now?
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Equations:
a = 2m
(a-8) = 3(m-8)-8
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Rearrange:
a = 2m
a-8 = 3m-32
---
Substitute for "a" and solve for "m":
2m-8 = 3m-32
m = 24 (Marie's age now)
----
Solve for "a":
a = 2m
a = 48 (Anton's age now)
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Cheers,
Stan H.
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