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What is the value of x ?

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What is the value of x ? [#permalink] New post 07 Jan 2014, 04:19
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the value of x ?

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

Data Sufficiency
Question: 23
Category: Algebra First- and second-degree equations
Page: 154
Difficulty: 500


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Re: What is the value of x ? [#permalink] New post 07 Jan 2014, 04:19
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Re: What is the value of x ? [#permalink] New post 07 Jan 2014, 11:12
What is the value of x ?

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

St1: we have -x -y=x-y ---->-2x=0 and thus x=0 but y can have any value so not sufficient

St2:not sufficient as there are multiple options to satisfy the equation
So A,D and B are ruled out

Combining we get x= 0 and y=2

Ans C

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Re: What is the value of x ? [#permalink] New post 07 Jan 2014, 12:11
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Q. What is the value of x ?

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

Sol: This is a DS Qs where we have to find a definite value of x.

Now, we don't have any data in Qs stem. So, we can skip that.

Going, quickly to St. 1.. -(x+y)=x-y---> Expanding the brackets the equation becomes--> -x-y=x-y

Now cancelling -y from both ends (or in other words adding +y on both sides), we get -x=x to give us finally 2x=0--> giving us x=0

As , we have a definite value of x , now St.1-->Suff--> Ans may be AD

St.2 --> x+y=2.. now x and y can take diff. integral or fractional values (nothing mentioned in Qs stem ) . So, we can't figure out exact value of x.

Hence, St 2--> Insuff and ans IMO is A..

Hope this helps(if correct) :-D .

Thanks
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Re: What is the value of x ? [#permalink] New post 07 Jan 2014, 20:06
From Statement 1, -(x + y)= x- y
-x-y = x-y;
2x = 0;
=> x=0; (Sufficient)
From Statement 2, since the value of y could be anything, we can infer that it is insufficient.

Therefore, (A) is the answer.
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Re: What is the value of x ? [#permalink] New post 08 Jan 2014, 08:06
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the value of x ?

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



statement 1) -x-y = x-y => 2x = 0 => x = 0 Sufficient
statement 2) x+y = 2 not sufficient as we don't know the value of y.

Hence A)
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Re: What is the value of x ? [#permalink] New post 11 Jan 2014, 06:20
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Re: What is the value of x ?   [#permalink] 11 Jan 2014, 06:20
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