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) About Me  (Show Source):
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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.