SOLUTION: Nancy is 5 years younger than her brother Stan. Last year she was half as old as he was. How old is each of them now?

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Question 1107105: Nancy is 5 years younger than her brother Stan. Last year she was half as old as he was. How old is each of them now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Nancy's age now
Let +b+ = Stan's age now
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(1) +a+=+b+-+5+
(2) +a+-+1+=+%281%2F2%29%2A%28+b+-+1+%29+
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Substitute (1) into (2)
(2) +b+-+5+-+1+=+%281%2F2%29%2A%28+b+-+1+%29+
(2) +b+-+6+=+%281%2F2%29%2A%28+b+-+1+%29+
(2) +2%2A%28+b+-+6+%29+=+b+-+1+
(2) +2b+-+12+=+b+-+1+
(2) +b+=+11+
and
(1) +a+=+b+-+5+
(1) +a+=+11+-+5+
(1) +a+=+6+
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Nancy is 6
Stan is 11