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## GMATPrep: DS problem

kookoo4tofu Junior | Next Rank: 30 Posts
Joined
07 May 2007
Posted:
13 messages

#### GMATPrep: DS problem

Mon May 07, 2007 12:18 pm

If x and y are positive integers, what is the value of x + y?
(1) (2^x)(3^y) = 72
(2) (2^x)(2^y) = 32

### GMAT/MBA Expert

Stacey Koprince GMAT Instructor
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Tue May 08, 2007 11:42 am
Yep - break down the right sides of the equations to have the same bases!

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jayhawk2001 Community Manager
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Mon May 07, 2007 8:58 pm
kookoo4tofu wrote:

If x and y are positive integers, what is the value of x + y?
(1) (2^x)(3^y) = 72
(2) (2^x)(2^y) = 32
Is it D?

1 - sufficient. 2^x*3^y = 2^3*3^2 = 72. Therefore x+y = 3+2

2 - sufficient. 2^(x+y) = 2^5. x+y = 5

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