value of x + y

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Xbond: Master | Next Rank: 500 Posts; Posts: 275; Joined: Wed Jul 02, 2008 4:19 am; Thanked: 4 times

by Xbond » Sat Aug 22, 2009 9:38 am

Hi there,

Could you explain the concept of this DS in simplest way

If x and y are positive integers, what is the value of x + y ?

(1) 2expo(x).3expo(y) = 72
(2) 2expo(x).2expo(y) = 32

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Source: Beat The GMAT — Data Sufficiency | Sat Aug 22, 2009 9:38 am

iamjakekim: Senior | Next Rank: 100 Posts; Posts: 36; Joined: Sun Jun 21, 2009 12:09 pm; Thanked: 1 times; GMAT Score:700

by iamjakekim » Sat Aug 22, 2009 9:46 am

Break down to 2's and 3's.

stm1.

2^x mult 3^y = 72

break 72 down to 2 and 3's. 2 2 2 3 3
so we get X + Y = 5

SUF

stm 2.

same thing 2^x mult 2^y = 36

2 2 2 2 2 = 32

x + y = 5

SUF

DDDDDD

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