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# If x and y are positive integers and 1 + x + y + xy = 15,

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Director
Joined: 29 Aug 2005
Posts: 836
If x and y are positive integers and 1 + x + y + xy = 15, [#permalink]

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23 Nov 2008, 05:59
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x and y are positive integers and 1 + x + y + xy = 15, what is the value of x + y?
A. 3
B. 5
C. 6
D. 8
E. 9
Intern
Joined: 21 Nov 2008
Posts: 4
Re: GMAT Set 27 - 3 [#permalink]

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23 Nov 2008, 07:04
C: 6
2 & 4 for x & y will suffice
Director
Joined: 29 Aug 2005
Posts: 836
Re: GMAT Set 27 - 3 [#permalink]

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23 Nov 2008, 08:34
sapnaprakash wrote:
C: 6
2 & 4 for x & y will suffice

Yes, OA C. But Is there more constructive way of solving it?
Manager
Joined: 05 Jul 2008
Posts: 135
GMAT 2: 740 Q51 V38
Re: GMAT Set 27 - 3 [#permalink]

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23 Nov 2008, 09:48
botirvoy wrote:
If x and y are positive integers and 1 + x + y + xy = 15, what is the value of x + y?
A. 3
B. 5
C. 6
D. 8
E. 9

(x+1)(y+1)=15
while x+1 and y+1 are integers so
x+1=3
y+1=5
Director
Joined: 29 Aug 2005
Posts: 836
Re: GMAT Set 27 - 3 [#permalink]

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30 Nov 2008, 11:36
Re: GMAT Set 27 - 3   [#permalink] 30 Nov 2008, 11:36
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# If x and y are positive integers and 1 + x + y + xy = 15,

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