SOLUTION: If you give me one, we will be equal. If I give you one, you will have twice as many as i have. How many do we each have?

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Question 775913: If you give me one, we will be equal. If I give you one, you will have twice as many as i have. How many do we each have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number I have
Let +m+ = the number you have
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(1) +n+%2B+1+=+m+-+1+
(2) +2%2A%28+n+-+1+%29+=+m+%2B+1+
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(1) +m+-+n+=+2+
and
(2) +2n+-+2+=+m+%2B+1+
(2) +-m+%2B+2n+=+3+
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Add (1) and (2)
(1) +m+-+n+=+2+
(2) +-m+%2B+2n+=+3+
+n+=+5+
and
(1) +m+-+n+=+2+
(1) +m+-+5+=+2+
(1) +m+=+7+
I have 5 and you have 7
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check:
If you give me 1, we both have 6
If I give you 1, you have 8 and I have
4, which is half of 8
OK