SOLUTION: 6 years ago Bob was 4 times as old as Peri. In 9 years he will be 3/2 as old.

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Question 404140: 6 years ago Bob was 4 times as old as Peri. In 9 years he will be 3/2 as old.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6 years ago Bob was 4 times as old as Peri. In 9 years he will be 3/2 as old.
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Equation:
(b-6) = 4(p-6)
(b+9) = (3/2)(p+9)
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Rearrange:
b-4p = -24+6
2b+18 = 3p+27
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Modify:
b - 4p = -18
2b -3p = 9
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Finally:
2b - 8p = -36
2b - 3p = 9
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Subtract top from bottom and solve for "p":
5p = 45
p = 9 (Peri's age now)
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Solve for "b":
b - 4p = -18
b -4*9 = -18
b = -18+36
b = 18 (Bob's age now)
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Cheers,
Stan H.
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