It is currently 23 Sep 2017, 22:13

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Algebric Expression

Author Message
Retired Moderator
Status: The last round
Joined: 18 Jun 2009
Posts: 1295

Kudos [?]: 1198 [0], given: 157

Concentration: Strategy, General Management
GMAT 1: 680 Q48 V34

### Show Tags

09 Apr 2010, 13:58
00:00

Difficulty:

(N/A)

Question Stats:

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

### HideShow timer Statistics

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.

_________________

Kudos [?]: 1198 [0], given: 157

Manager
Joined: 13 Aug 2009
Posts: 199

Kudos [?]: 124 [0], given: 16

Schools: Sloan '14 (S)

### Show Tags

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

Kudos [?]: 124 [0], given: 16

Re: Algebric Expression   [#permalink] 09 Apr 2010, 17:06
Display posts from previous: Sort by