SOLUTION: Nick is one-forth his grandfather's age. Five years ago, he was one-fifth his grandfather's age. How old are Nick and his Grandfather now?

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Question 932395: Nick is one-forth his grandfather's age. Five years ago, he was one-fifth his grandfather's age.

How old are Nick and his Grandfather now?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Nick is one-forth his grandfather's age. Five years ago, he was one-fifth his grandfather's age.
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Equations:
n = (1/4)g
(n-5) = (1/5)(g-5)
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Substitute for "g" and solve for "n"::
n-5 = (1/5)(4n-5)
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n-5 = (4/5)n - 1
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(1/5)n = 4
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n = 20 yrs ( Nick's age now)
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Solve for "g":
g = 4n = 80 years (Grandpa's age now)
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Cheers,
Stan H.
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