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MGMAT equations problem

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Senior | Next Rank: 100 Posts
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by mleviko » Tue Apr 15, 2008 10:27 am
If x and y are non-zero integers and |x| + |y| = 32, what is xy?

(1) -4x – 12y = 0

(2) |x| – |y| = 16
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by simplyjat » Tue Apr 15, 2008 11:33 am
(1) -4x – 12y = 0 SUFFICIENT
or x + 3y = 0, or x = -3y. So we know that x and y will have different signs. And the result will be -1*|x|*|y|. Solve the equations to get |x| = 24 and |y| = 8, thus making xy = -192

(2) |x| – |y| = 16 INSUFFICIENT
we will be able to calculate |x| = 24 and |y| = 8. but the result can be -192 or 192
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by sampleresume » Wed Apr 16, 2008 6:56 am
So the answer is A.
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