SOLUTION: Mark is 8 years younger than Gerry. In ten years, he will be ten years more than one-half as old as Gerry. Find their present ages.

Question 711718: Mark is 8 years younger than Gerry. In ten years, he will be ten years more than one-half as old as Gerry. Find their present ages.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mark is 8 years younger than Gerry. In ten years, he will be ten years more than one-half as old as Gerry. Find their present ages.
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Equations:
m = g - 8
m+10 = (1/2)(g+10)+10
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Substitute for "m" and solve for "g":
g-8+10 = (1/2)(g+10)+10
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g - 8 = (1/2)(g+10)
2g - 16 = g+10
g = 26 (Gerry's age now)
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Solve for "m":
m = g - 8
m = 24 years (Mark's age now)
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Cheers,
Stan H.
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