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If a, b, and c are positive

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Source: — Data Sufficiency |
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by GMATGuruNY » Sun Feb 18, 2018 3:30 am
lheiannie07 wrote:If a, b, and c are positive, is a + b > c?

(1) a/c > b > 1
(2) ab > ac
Statement 1:
a/c > 1
a > c.
Since b is positive, b > 0.
Adding together a > c and b > 0, we get:
a+b > c+0
a+b > c.
Thus, the answer to the question stem is YES.
SUFFICIENT.

Statement 2:
Since a > 0, we can divide both sides by a to yield the following:
b > c.
Adding together a > 0 and b > c, we get;
a+b > 0+c
a+b > c.
Thus, the answer to the question stem is YES.
SUFFICIENT.

The correct answer is D.
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