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If y is positive, what is the value of x?

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If y is positive, what is the value of x?

by VJesus12 » Mon May 14, 2018 1:27 am

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If y is positive, what is the value of x?

(1) x - y = -(x + |y|)
(2) x - y = -3

The OA is the option A.

Why is sufficient the first statement? I couldn't get an answer. I got x=y, but I don't know what is the value of y. <i class="em em-confused"></i>
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Source: — Data Sufficiency |
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by GMATGuruNY » Mon May 14, 2018 2:48 am

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VJesus12 wrote:If y is positive, what is the value of x?

(1) x - y = -(x + |y|)
(2) x - y = -3
Since y is positive, |y| = y.

Statement 1:
x - y = -x - |y|
x - y = -x - y
x = -x
2x = 0
x = 0.
SUFFICIENT.

Statement 2:
x = y-3
If y=1, then x = 1-3 = -2.
If y=2, then x = 2-3 = -1.
Since x can be different values, INSUFFICIENT.

The correct answer is A.
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