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# If x and y are non-zero integers and |x| + |y| = 32, what is

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Senior Manager
Joined: 19 Mar 2008
Posts: 344
If x and y are non-zero integers and |x| + |y| = 32, what is  [#permalink]

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26 Jul 2008, 00:40
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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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Manager
Joined: 27 May 2008
Posts: 135
Re: DS Absolute value (n3.2)  [#permalink]

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26 Jul 2008, 07:32
judokan wrote:
If x and y are non-zero integers and |x| + |y| = 32, what is xy?

(1) -4x – 12y = 0

(2) |x| – |y| = 16

From 1)

x= -3y

Putting it in the main eqn

l-3yl + lyl = 32

when Y is negative
+3y - y= 32

y= 16
x=-48
but the expression
|x| + |y| = 32
will not hold good
Thus Y can not be negative.

When Y is positive

4y=32
Y=8
x=-24
xy=-192
Expression |x| + |y| = 32 hold good

For (2)

lxl - lyl = 16

x= + 24, y= -8

xy = -192
But
for X= +24, y= 8
lxl - lyl = 16 holds good
but xy = +192

Thus only from (1). (A) is the answer.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: DS Absolute value (n3.2) &nbs [#permalink] 26 Jul 2008, 07:32
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