SOLUTION: Gerry is twice Julia's age.Ten years ago,the square of Julia's age was 14 more than Gerry's age.What is the present age of Gerry?

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Question 631779: Gerry is twice Julia's age.Ten years ago,the square of Julia's age was 14 more than Gerry's age.What is the present age of Gerry?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Gerry is twice Julia's age.Ten years ago,the square of Julia's age was 14 more than Gerry's age.What is the present age of Gerry?
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Equations:
G = 2J
(J-10)^2 = (G-10)+14
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Substitute and solve for "J":
(J-10)^2 = (2J-10) + 14
J^2 - 20J + 100 = 2J + 4
J^2 - 22 J + 96 = 0
J = 16
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Solve for G:
G = 2J = 32 (Gerry's age now)
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Cheers,
Stan H.

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