SOLUTION: Cheryl is seven more than two times as old as Henry. In 5 years the sum of their ages will be 92. How old is Henry now?

Question 441021: Cheryl is seven more than two times as old as Henry. In 5 years the sum of their ages will be 92. How old is Henry now?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Cheryl is seven more than two times as old as Henry. In 5 years the sum of their ages will be 92. How old is Henry now?
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Equations:
c = 2h+7
(c+5)+(h+5) = 92
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Substitute and solve for "h":
(2h+7+5)+(h+5) = 92
---
3h = 75
h = 25 (Henry's age now)
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Solve for "c":
c = 2h + 7
c = 57 (Cheryl's age now)
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Cheers,
Stan H.
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