SOLUTION: Last year Dick was twice as old as Jane. Four years ago the sum of Dick's age and Jane's age was twice Jane's age now. How old are Dick and Jane?
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Question 892972: Last year Dick was twice as old as Jane. Four years ago the sum of Dick's age and Jane's age was twice Jane's age now. How old are Dick and Jane?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Last year Dick was twice as old as Jane. Four years ago the sum of Dick's age and Jane's age was twice Jane's age now. How old are Dick and Jane?
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Equations:
d-1 = 2(j-1)
(d-4)+(j-4) = 2j
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Rearrange::
d - 2j = -1
d - j = 8
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Subtract and solve for "j":
j = 9 yrs (Jane's age now)
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Solve for "d"::
d - 9 = 8
d = 17 yrs (Dick's age now)
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Cheers,
Stan H.
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