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# IneqP) If x and y are non-zero integers and |x| + |y| = 32,

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VP
Joined: 30 Jun 2008
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IneqP) If x and y are non-zero integers and |x| + |y| = 32, [#permalink]

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29 Oct 2008, 00:30
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(IneqP)

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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"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 728 [0], given: 1

SVP
Joined: 17 Jun 2008
Posts: 1534

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29 Oct 2008, 01:12
A.

From stmt1: x = -3y. Hence, |-3y| + |y| = 32 or 4|y| = 32 or y = |8|
If, y = 8, x = -24, if y = -8, x = 24 and xy = -24*8. Sufficient.

From stmt2: 2|x| = 48 or |x| = 24 and |y| = 8. Insufficient as xy can be 24*8 or -24*8.

Kudos [?]: 280 [0], given: 0

Director
Joined: 23 May 2008
Posts: 800

Kudos [?]: 86 [0], given: 0

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29 Oct 2008, 01:28
scthakur wrote:
A.

From stmt1: x = -3y. Hence, |-3y| + |y| = 32 or 4|y| = 32 or y = |8|
If, y = 8, x = -24, if y = -8, x = 24 and xy = -24*8. Sufficient.

From stmt2: 2|x| = 48 or |x| = 24 and |y| = 8. Insufficient as xy can be 24*8 or -24*8.

you're right..i dropped the abs value signs too early when adding the two equations..should be A

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VP
Joined: 30 Jun 2008
Posts: 1032

Kudos [?]: 728 [0], given: 1

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29 Oct 2008, 02:08
A it is
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Re: DS : MODULUS   [#permalink] 29 Oct 2008, 02:08
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