SOLUTION: Cecilia is 24 years younger than Joe. Six years ago she was half as old as he was. How old is each now?

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Question 391901: Cecilia is 24 years younger than Joe. Six years ago she was half as old as he was. How old is each now?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Cecilia is 24 years younger than Joe. Six years ago she was half as old as he was. How old is each now?
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Equations:
c = j-24
(c-6) = (1/2)(j-6)
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Substitute for "c" and solve for "j":
(j-24-6) = (1/2)(j-6)
(j-30) = (1/2)(j-6)
2j-60 = j-6
j = 54 (Joe's age now)
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Since c = j-24, c = 30 (Cecilia's age now)
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Cheers,
Stan H.
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