SOLUTION: The sum of one half of heather's age two years from now and one third of her age three years ago is 20. How old is she?

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Question 1109141: The sum of one half of heather's age two years from now and one third of her age three years ago is 20. How old is she?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = her age now
+%281%2F2%29%2A%28+x+%2B+2+%29+%2B+%281%2F3%29%2A%28+x+-+3+%29+=+20+
Multiply both sides by +6+
+3%2A%28+x+%2B+2+%29+%2B+2%2A%28+x+-+3+%29+=+120+
+3x+%2B+6+%2B+2x+-+6+=+120+
+5x+=+120+
+x+=+24+
She is 24 now
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check:
+%281%2F2%29%2A%28+x+%2B+2+%29+%2B+%281%2F3%29%2A%28+x+-+3+%29+=+20+
+%281%2F2%29%2A26+%2B+%281%2F3%29%2A21+=+20+
+13+%2B+7+=+20+
+20+=+20+
OK