SOLUTION: Bob is 24 years younger than his father. In 2 years he will be half as old as his father. How old is each now?

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Question 675083: Bob is 24 years younger than his father. In 2 years he will be half as old as his father. How old is each now?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Bob is 24 years younger than his father. In 2 years he will be half as old as his father. How old is each now?
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Equations:
b = f - 24
b+2 = (1/2)(f+2)
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Substitute for "b" and solve for "f":
f-24+2 = (1/2)f + 1
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f-22 = (1/2)f + 1
(1/2)f = 23
f = 46 (father's age)
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Solve for "b":
b = f -24
b = 46-24
b = 22 (bob's age)
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cheers,
Stan H.