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# Are x and y both positive

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Are x and y both positive?

1) 2x - 2y = 1
2) x/y > 1

### 1 Best Answer

1

Statement 1 simplifies to x-y = 1/2
Let us try some values.
x = 3/4 , y = 1/2 => x - y = 1/2 => YES
x = -1/4, y = -3/4 => x -y = 1/2 => NO
this is INSUFFICIENT

Statement 2 : x/y > 1
Case 1) x = +ve, y = +ve
Case 2) x = -ve, y = -ve
Clearly
INSUFFICIENT
Combine both
x = y + 1/2

(y + 1/2)/y > 1
=> 1 + 1/2y > 1
=> 1 / 2y > 0
Clearly y > 0
and x > y
Hence both together are Sufficient

answered Jun 12, 2014 by Guru (5,808 points)
selected Sep 10, 2014 by
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Jyotsna Mehta

Indian School of Business, Co'18

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