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# What is the value of xy ?

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Director
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 508
Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
What is the value of xy ?  [#permalink]

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24 Oct 2013, 17:10
1
00:00

Difficulty:

5% (low)

Question Stats:

93% (00:25) correct 7% (00:15) wrong based on 122 sessions

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What is the value of xy ?

(1) x + y = 10
(2) x - y = 4

GH-10.23.12 | OE to follow
Math Expert
Joined: 02 Sep 2009
Posts: 47977
Re: What is the value of xy ?  [#permalink]

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25 Oct 2013, 00:20
avohden wrote:
What is the value of xy ?

(1) x + y = 10
(2) x - y = 4

GH-10.23.12 | OE to follow

We need to know both x and y. When we combine the statements we can solve the equations and get the value of xy.

_________________
Director
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 508
Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
Re: What is the value of xy ?  [#permalink]

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29 Oct 2013, 21:54
Official Explanation

On their own, both of these statements are insufficient. To answer the question, we need the value of each of the two variables, but neither statement has enough information to find that.

Combined, they are sufficient. Add the two equations, and the result is 2x = 14, or x = 7. Plugging x = 7 into either equation, we find that y = 3 and thus, that xy = 21. Choice (C) is correct.
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Re: What is the value of xy ?  [#permalink]

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10 Nov 2017, 07:45
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Re: What is the value of xy ? &nbs [#permalink] 10 Nov 2017, 07:45
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