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

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Manager
Joined: 10 May 2009
Posts: 59
If x and y are non-zero integers and |x| + |y| = 32, what is  [#permalink]

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08 Jun 2009, 07:45
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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: 16 Apr 2009
Posts: 209
Schools: Ross
Re: xy DS  [#permalink]

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08 Jun 2009, 09:09
Quote:
If x and y are non-zero integers and |x| + |y| = 32, what is xy?

(1) -4x – 12y = 0

(2) |x| – |y| = 16

IMO, OA is D
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Manager
Joined: 30 Nov 2008
Posts: 91
Re: xy DS  [#permalink]

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08 Jun 2009, 17:20
wouldn't it be A?

1) X+ 3Y = 0
X=-3Y
X=-24
Y=8

2) X=24, -24, Y= 8, -8
Manager
Joined: 28 Jan 2004
Posts: 198
Location: India
Re: xy DS  [#permalink]

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08 Jun 2009, 20:15
Stmt. 1 can be solved as follows.

-4X = 12Y or X = -3Y This gives Y = 8 and X = -24
or 12Y = -4X This gives Y = -8 and X = -24.
However product is same, hence suff.

Stmt. 2
|X| = |Y| + 16
Put in original question..
|Y| + 16 + |Y| = 32
or |Y| = 8
This gives Y = 8 or -8.
Howevr for say Y = 8 we can have X=-24 or 24.Hence we can not tell XY as it can be -ve or +ve............Insuff.

So answer is A.
Intern
Joined: 04 Mar 2008
Posts: 41
Re: xy DS  [#permalink]

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09 Jun 2009, 14:16
The answer should be A as there would be multiple values of xy possible with second stamt alone.

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

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

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Re: xy DS &nbs [#permalink] 09 Jun 2009, 14:16
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