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# If a > 0 and b > 0, is 1/(a + b) < 1? (1) a/b = 2 (2) a + b > 1

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Math Expert
Joined: 02 Sep 2009
Posts: 50730
If a > 0 and b > 0, is 1/(a + b) < 1? (1) a/b = 2 (2) a + b > 1  [#permalink]

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31 Oct 2018, 23:24
00:00

Difficulty:

35% (medium)

Question Stats:

68% (00:49) correct 32% (01:35) wrong based on 22 sessions

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If a > 0 and b > 0, is 1/(a + b) < 1?

(1) a/b = 2

(2) a + b > 1

_________________
PS Forum Moderator
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 383
GMAT 1: 740 Q50 V40
Re: If a > 0 and b > 0, is 1/(a + b) < 1? (1) a/b = 2 (2) a + b > 1  [#permalink]

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31 Oct 2018, 23:36
Bunuel wrote:
If a > 0 and b > 0, is 1/(a + b) < 1?

(1) a/b = 2

(2) a + b > 1

Lets try to simplify the question stem further.
1/(a+b) <1 ?

since, a > 0 & b > 0 , a+b>0... so we can cross-multiply by (a+b) without affecting the inequality question.

$$\frac{1}{(a+b)} * (a+b) < 1* (a+b)$$?
Or,
$$(a+b) >1$$?

This is our new question stem.

St 1. a/b = 2

a = 2b
Is a+b>1?
Is 2b+b>1?
Is 3b>1?
Is b>1/3 ? We do not know. Hence not sufficient.

St 2. a + b > 1 This is exactly our simplified question stem. Hence sufficient!

Hence Option (B) is our choice.

Best,
Re: If a > 0 and b > 0, is 1/(a + b) < 1? (1) a/b = 2 (2) a + b > 1 &nbs [#permalink] 31 Oct 2018, 23:36
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