SOLUTION: Please solve this question. Lucy is k years old How old was she three years ago How old will she be in four years time Find her age if half of what she was three year ago is e

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Question 937702: Please solve this question.
Lucy is k years old
How old was she three years ago
How old will she be in four years time
Find her age if half of what she was three year ago is equal to one third of what she will be in four year time
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
3 yrs ago she was +k+-+3+
In 4 yrs, she will be +k+%2B+4+
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+%281%2F2%29%2A%28+k+-+3+%29+=+%281%2F3%29%2A%28+k+%2B+4+%29+
Multiply both sides by +6+
+3%2A%28+k+-+3+%29+=+2%2A%28+k+%2B+4+%29+
+3k+-+9+=+2k+%2B+8+
+k+=+17+
Lucy is 17
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check the answer:
+%281%2F2%29%2A%28+17+-+3+%29+=+%281%2F3%29%2A%28+17+%2B+4+%29+
+%281%2F2%29%2A14+=+%281%2F3%29%2A21+
+7+=+7+
OK

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Lucy is k years old
How old was she three years ago:: k-3
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How old will she be in four years time:: k + 4
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Find her age if half of what she was three year ago is equal to one third of what she will be in four year time
Equation:
(1/2)(k-3) = (1/3)(k+4)
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3(k-3) = 2(k+4)
3k-9 = 2k+8
k = 17 (Lucy's age now)
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Cheers,
Stan H.
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