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# What is the value of x – y ?

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Current Student
Affiliations: UWC
Joined: 09 May 2012
Posts: 399
GMAT 1: 620 Q42 V33
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WE: Engineering (Entertainment and Sports)
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Kudos [?]: 463 [0], given: 100

What is the value of x – y ? [#permalink]  27 May 2012, 08:11
00:00

Difficulty:

5% (low)

Question Stats:

92% (01:40) correct 8% (00:32) wrong based on 62 sessions
What is the value of x – y ?

(1) w + z = 7
(2) wx – wy + xz – yz = 12
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 28784
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Kudos [?]: 47678 [0], given: 7130

Re: What is the value of x – y ? [#permalink]  28 May 2012, 01:46
Expert's post
What is the value of x – y ?

(1) w + z = 7. Clearly insufficient.
(2) wx – wy + xz – yz = 12 --> $$w(x-y)+z(x-y)=12$$ --> $$(w+z)(x-y)=12$$. Not sufficient.

(1)+(2) Since from (1) $$w+z=7$$ then from (2) $$7*(x-y)=12$$ --> $$x-y=\frac{12}{7}$$. Sufficient.

_________________
Re: What is the value of x – y ?   [#permalink] 28 May 2012, 01:46
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