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

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Intern
Joined: 11 Nov 2013
Posts: 15
GMAT Date: 12-26-2013
GPA: 3.6
WE: Consulting (Computer Software)
If x and y are positive integers,what is the value of x + y?  [#permalink]

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03 Dec 2013, 17:09
2
6
00:00

Difficulty:

15% (low)

Question Stats:

74% (01:08) correct 26% (01:09) wrong based on 226 sessions

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

(1) $$2^x 3^y= 72$$

(2) $$2^x 2^y = 32$$
Intern
Joined: 11 Nov 2013
Posts: 15
GMAT Date: 12-26-2013
GPA: 3.6
WE: Consulting (Computer Software)
Re: If x and y are positive integers,what is the value of x + y?  [#permalink]

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03 Dec 2013, 17:13
3
A4G 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

Statement 1:
Since x and y are integers, there is only possibility.
72 = 8*9 = 2^3 * 3^2
So x = 3 and y = 2.
We can find x+y = 3+2 = 5 =>Sufficient .

Statement 2 :
LHS : 2^x 2^y = 2^(x+y)
RHS : 32 = 2^5
2^(x+y) = 2^5
Hence x+y = 5. =>Sufficient .

SVP
Joined: 03 Jun 2019
Posts: 1514
Location: India
Re: If x and y are positive integers,what is the value of x + y?  [#permalink]

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21 Jul 2019, 04:33
A4G wrote:
If x and y are positive integers, what is the value of x + y ?

(1) $$2^x 3^y= 72$$

(2) $$2^x 2^y = 32$$

Given: x and y are positive integers
Asked: What is the value of x + y ?

(1) $$2^x 3^y= 72$$
$$2^x 3^y= 72 = 2^3*3^2$$
x=3 y=2
x+y = 5
SUFFICIENT

(2) $$2^x 2^y = 32$$[/quote]
$$2^x 2^y = 32$$ = 2^5
x+y = 5
SUFFICIENT

IMO D
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Intern
Joined: 17 Jun 2019
Posts: 5
Location: India
GPA: 2.7
Re: If x and y are positive integers,what is the value of x + y?  [#permalink]

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18 Aug 2019, 01:59

Posted from my mobile device
Intern
Joined: 17 Jun 2019
Posts: 5
Location: India
GPA: 2.7
Re: If x and y are positive integers,what is the value of x + y?  [#permalink]

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18 Aug 2019, 01:59

Posted from my mobile device
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Joined: 18 Dec 2017
Posts: 337
Re: If x and y are positive integers,what is the value of x + y?  [#permalink]

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18 Aug 2019, 12:48
arun8sharma wrote:

Posted from my mobile device

The answer is D. May be there was a mistake in OA initially.
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Re: If x and y are positive integers,what is the value of x + y?   [#permalink] 18 Aug 2019, 12:48
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