Question 429528: Three years ago, Joe's age was 1 year more than twice Karen's. Six years from now, his age will be 10 years more than half her age. how old is Joe?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Three years ago, Joe's age was 1 year more than twice Karen's. Six years from now, his age will be 10 years more than half her age. how old is Joe?
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Equations:
(j-3) = 2(k-3)+1
(j+6) = (1/2)(k+6)+10
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Rearrange the 1st equation:
j-3 = 2k-6+1
j-3 = 2k-5
j = 2k-2
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Substitute into the 2nd equation and solve for "k":
(2k-2+6) = (1/2)(k + 6) + 10
Multiply thru by 2:
2(2k+4) = k+6+20
4k+8 = k+26
3k = 18
k = 6 (Karen's age now)
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Solve for "j":
j = 2k-2
j = 12-2
j = 10 (Joe's age now)
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Cheers,
Stan H.
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