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# What is the value of x – y ?

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Senior Manager
Affiliations: UWC
Joined: 09 May 2012
Posts: 398
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE: Engineering (Entertainment and Sports)
Followers: 29

Kudos [?]: 1185 [0], given: 100

What is the value of x – y ? [#permalink]

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27 May 2012, 09:11
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Difficulty:

5% (low)

Question Stats:

91% (01:36) correct 9% (00:46) wrong based on 117 sessions

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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: 37590
Followers: 7402

Kudos [?]: 99613 [0], given: 11023

Re: What is the value of x – y ? [#permalink]

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28 May 2012, 02:46
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.

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Re: What is the value of x – y ?   [#permalink] 28 May 2012, 02:46
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