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# If x^2 – y^2 = 14, what is the value of x? (1) x – y = 2 (2) x + y = 7

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Math Expert
Joined: 02 Sep 2009
Posts: 52122
If x^2 – y^2 = 14, what is the value of x? (1) x – y = 2 (2) x + y = 7  [#permalink]

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17 Apr 2018, 00:03
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Difficulty:

35% (medium)

Question Stats:

80% (00:55) correct 20% (01:29) wrong based on 30 sessions

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If x^2 – y^2 = 14, what is the value of x?

(1) x – y = 2

(2) x + y = 7

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Joined: 31 Oct 2013
Posts: 951
Concentration: Accounting, Finance
GPA: 3.68
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If x^2 – y^2 = 14, what is the value of x? (1) x – y = 2 (2) x + y = 7  [#permalink]

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17 Apr 2018, 00:27
Bunuel wrote:
If x^2 – y^2 = 14, what is the value of x?

(1) x – y = 2

(2) x + y = 7

Given that$$x^2-y^2$$=14
(x+y) (x-y)=14

statement 1 : x-y=2. by substituting this value in the equation we will get the value of x+y. adding those we will get the value of x.
Statement 2: the same will be applicable as mentioned above in statement 1.
Thus both statements are sufficient.

If x^2 – y^2 = 14, what is the value of x? (1) x – y = 2 (2) x + y = 7 &nbs [#permalink] 17 Apr 2018, 00:27
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