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What is the value of x + y? (1) x + 2 = 5 - y (2) (x + y)^2 = 9

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What is the value of x + y? (1) x + 2 = 5 - y (2) (x + y)^2 = 9  [#permalink]

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New post 10 Jul 2018, 22:05
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

76% (00:28) correct 24% (00:58) wrong based on 45 sessions

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What is the value of x + y? (1) x + 2 = 5 - y (2) (x + y)^2 = 9  [#permalink]

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New post 10 Jul 2018, 22:14
1
To find the value of x + y

Statement 1

\(x + 2 = 5 - y\)

=> \(x + y = 5 - 2\)

=> \(x + y = 3\)

Statement 1 sufficient

Statement 2

\((x+y)^{2} = 9\)

=> \(x + y = 3\) or \(x + y = -3\)

Statement 2 not sufficient

Hence option A
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Re: What is the value of x + y? (1) x + 2 = 5 - y (2) (x + y)^2 = 9  [#permalink]

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New post 10 Jul 2018, 22:22
Bunuel wrote:
What is the value of x + y?

(1) x + 2 = 5 - y

(2) (x + y)^2 = 9


St1 yields only one value of (x+y), so sufficient.

In st2, (x+y) is a square term, so (x+y) has two values. So, insufficient.

Ans.(A)
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Re: What is the value of x + y? (1) x + 2 = 5 - y (2) (x + y)^2 = 9  [#permalink]

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New post 11 Jul 2018, 20:31
From statement 1:

x+2=5−y

=> x+y=5−2

=> x+y=3

Sufficient

From statement 2:

(x+y)^2=9

=> x+y=3 or x+y=-3
not sufficient

Hence A

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Re: What is the value of x + y? (1) x + 2 = 5 - y (2) (x + y)^2 = 9   [#permalink] 11 Jul 2018, 20:31
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