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What is the value of x^2 - y^2 ?

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What is the value of x^2 - y^2 ?  [#permalink]

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New post 21 Jan 2014, 04:05
2
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A
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Question Stats:

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the value of x^2 - y^2 ?

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

Data Sufficiency
Question: 46
Category: Algebra First- and second-degree equations
Page: 156
Difficulty: 600


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Re: What is the value of x^2 - y^2 ?  [#permalink]

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New post 21 Jan 2014, 04:06
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Re: What is the value of x^2 - y^2 ?  [#permalink]

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New post 21 Jan 2014, 08:45
1
x^2-y^2 = (x-y)(x+y)

(1) x - y = y + 2
x^2-y^2 = (y + 2)(x+y) not sufficient

(2) x - y = 1/(x+y)
x^2-y^2 = [1/(x+y)](x+y) = 1 sufficient

Correct answer is (B)
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Re: What is the value of x^2 - y^2 ?  [#permalink]

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New post 24 Jan 2014, 01:56
Bunuel wrote:
What is the value of x^2 - y^2 ?

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




x^2 - y^2 can we written as (x+y)(x-y), so question becomes what is the value of (x+y)(x-y)?

(1) x - y = y + 2 we have (x-y) no info about (x+y) insufficient.

(2) x - y = 1/(x+y) can we written as (x-y)(x+y)= 1 , just what we were looking for , Sufficient.

Answer B
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Re: What is the value of x^2 - y^2 ?  [#permalink]

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New post 11 Sep 2015, 02:54
st (1) x - y = y + 2, X-2y=2, insufficient

st (2) x - y = 1/(x+y), on rearranging it x^2-Y^2==1, sufficient


hence B
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Re: What is the value of x^2 - y^2 ?  [#permalink]

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New post 10 Oct 2018, 22:34
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Re: What is the value of x^2 - y^2 ?   [#permalink] 10 Oct 2018, 22:34
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