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# Algebric Expression

Author Message
Retired Moderator
Status: The last round
Joined: 18 Jun 2009
Posts: 1300
Concentration: Strategy, General Management
GMAT 1: 680 Q48 V34
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Kudos [?]: 1075 [0], given: 157

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09 Apr 2010, 13:58
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (00:56) wrong based on 2 sessions

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If 4XZ + YW = 3 and XW + YZ = 6, what is the value of the expression (2X + Y)(2Z + W)?
(a) 9.
(b) 12.
(c) 15.
(d) 16.
(e) 18.

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Manager
Joined: 13 Aug 2009
Posts: 201
Schools: Sloan '14 (S)
Followers: 3

Kudos [?]: 109 [0], given: 16

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09 Apr 2010, 17:06
First step is to expand the expression (2X + Y)(2Z + W) via FOIL:
2X*2Z + 2X*W + Y*2Z + Y*W
4XZ + 2XW + 2YZ + YW
Rearranging the terms we get:
(4XZ + YW) + 2(XW + YZ)
(4XZ + YW) + 2(XW + YZ)

All we need to do now is substitute the values 4XZ + YW = 3 and XW + YZ = 6
(4XZ + YW) + 2(XW + YZ)
3 + 2*6
= 15

Re: Algebric Expression   [#permalink] 09 Apr 2010, 17:06
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