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# Is |a| > |b|? (1) a + b< -(a + b) (2) a > b

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Director
Joined: 23 Feb 2015
Posts: 774
GMAT 1: 720 Q49 V40
Is |a| > |b|? (1) a + b< -(a + b) (2) a > b  [#permalink]

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Updated on: 08 Mar 2019, 00:38
00:00

Difficulty:

55% (hard)

Question Stats:

57% (01:44) correct 43% (02:09) wrong based on 14 sessions

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Is $$|a| > |b|$$?

(1) $$a + b < -(a + b)$$

(2) $$a > b$$

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“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”

Originally posted by AsadAbu on 07 Mar 2019, 14:10.
Last edited by Bunuel on 08 Mar 2019, 00:38, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Aug 2009
Posts: 7448
Re: Is |a| > |b|? (1) a + b< -(a + b) (2) a > b  [#permalink]

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07 Mar 2019, 19:15
$$Is |a|>|b|?$$
so we are looking for whether a is farther away from 0 or b is farther away from 0.
1) $$a+b<-(a+b)$$...2(a+b)<0...we cannot say anything.
2) $$a>b$$...both are of same sign, we can answer yes or no, otherwise not possible to answer.Both positive |a|>|b|, and if both negative |a|<|b|

Combined...a+b<0...
If a>0, b has to be negative and |b|>|a|.
If a<0, b also will be negative, and if both are negative we know |B|>|a|, since a>b..
In both cases answer is NO..
Sufficient

C
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Re: Is |a| > |b|? (1) a + b< -(a + b) (2) a > b   [#permalink] 07 Mar 2019, 19:15
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