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

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

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New post 08 Jun 2009, 07:45
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A
B
C
D
E

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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

Kudos [?]: 114 [0], given: 11

Manager
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Joined: 16 Apr 2009
Posts: 233

Kudos [?]: 99 [0], given: 10

Schools: Ross
Re: xy DS [#permalink]

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New post 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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Keep trying no matter how hard it seems, it will get easier.

Kudos [?]: 99 [0], given: 10

Manager
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Joined: 30 Nov 2008
Posts: 91

Kudos [?]: 27 [0], given: 0

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Re: xy DS [#permalink]

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New post 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

Kudos [?]: 27 [0], given: 0

Manager
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Posts: 203

Kudos [?]: 28 [0], given: 4

Location: India
Re: xy DS [#permalink]

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New post 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.

Kudos [?]: 28 [0], given: 4

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Re: xy DS [#permalink]

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

Kudos [?]: 3 [0], given: 6

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