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# What is the sum of integers A and B? (1) |A| = -|B| (2) |B|

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Director
Joined: 10 Feb 2006
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What is the sum of integers A and B? (1) |A| = -|B| (2) |B|  [#permalink]

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14 Jun 2007, 12:02
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70% (00:36) correct 30% (00:51) wrong based on 619 sessions

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What is the sum of integers A and B?

(1) |A| = -|B|
(2) |B| = -|A|

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Math Expert
Joined: 02 Sep 2009
Posts: 49206
Re: absolute value  [#permalink]

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03 Sep 2010, 14:59
4
3
tt11234 wrote:
What is the sum of integers A and B ?

1. /A/ = -/B/
2. /B/ = -/A/
(C) 2008 GMAT Club - m25#4

i don't understand the explanation provided by gmatclub, so can someone explain to me in details? thanks!
i am not good with absolute value, any study material recommended. thanks!

What is the sum of integers A and B ?

(1) |A|= -|B|
(2) |B|= -|A|

Both statements are saying the exact same thing: |a|+|b|=0, this to be true, both $$a$$ and $$b$$ must equal to zero.

Absolute value is always non-negative - $$|some \ expression|\geq{0}$$, which means that absolute value is either zero or positive. We have that the sum of two absolute values, or the sum of two non-negative values equals to zero: {non-negative}+{non-negative}=0, obviously both must be zero this equation to hold true.

For theory check About Value chapter of Math Book created by Walker: math-absolute-value-modulus-86462.html

Absolute value PS questions: search.php?search_id=tag&tag_id=58
Absolute value DS questions: search.php?search_id=tag&tag_id=37

Hard absolute value questions: inequality-and-absolute-value-questions-from-my-collection-86939.html

Hope it helps.

P.S. For absolute value you can use | symbol.
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Director
Joined: 25 Oct 2006
Posts: 580

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14 Jun 2007, 14:58
My choice is D.

A) |A| = -|B|

So |A|+|B| = 0 Suff
So for any combination can result summation to zero.

B) |B| = -|A|
or, |B|+|A| = 0; Suff

Both are sufficient to get the value, hence D.

Please rectify me if I am wrong
Manager
Joined: 21 Feb 2010
Posts: 187
What is the sum of integers A and B ? 1. /A/ = -/B/ 2. /B/ =  [#permalink]

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03 Sep 2010, 14:32
What is the sum of integers A and B ?

1. /A/ = -/B/
2. /B/ = -/A/
(C) 2008 GMAT Club - m25#4

i don't understand the explanation provided by gmatclub, so can someone explain to me in details? thanks!
i am not good with absolute value, any study material recommended. thanks!
Retired Moderator
Joined: 02 Sep 2010
Posts: 772
Location: London
Re: sum of integers A and B  [#permalink]

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10 Oct 2010, 02:29
Orange08 wrote:
What is the sum of integers A and B?

1. |A| = -|B|
2. |B| = -|A|

(1) |A|>=0 & |B|>=0
For |A|=-|B|, is only possible if both are equal to 0.
A+B=0

(2) Same logic as above. Sum is 0

Answer is (D)
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Posts: 67
Location: chennai
Re: absolute value  [#permalink]

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10 Nov 2010, 06:55
What is the sum of integers A and B ?

1. /A/ = -/B/
2. /B/ = -/A/

From 1 it implies
/A/ + /B/ = 0
From 2 it implies
/B/+/A/ = 0

So each one of the above is ok to answer the question
Manager
Joined: 19 Aug 2010
Posts: 69
Re: How Statement 1 & 2 can be theroretically possible  [#permalink]

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24 Nov 2010, 01:40
A module is always positive, therefore for the equations to be true both A and B = 0. In this case A+B=0.

Answer D
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Re: GC m25q04 Absolute Values: Sum of integers A and B  [#permalink]

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07 Oct 2011, 07:29
This question is some way
|A| denotes the positive value of A. So how can that be equal to a negative number?
CIO
Joined: 02 Oct 2007
Posts: 1207
Re: What is the sum of integers A and B ? 1. /A/ = -/B/ 2. /B/ =  [#permalink]

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15 Feb 2012, 03:36
Please go here to discuss this question:
what-is-the-sum-of-integers-a-and-b-1-a-b-2-b-47089.html
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Re: What is the sum of integers A and B? (1) |A| = -|B| (2) |B|  [#permalink]

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28 Apr 2012, 09:29
guys, there is an error on the question stem, please look how it is displayed for me:

What is the sum of integers $$b$$ and $$b$$ ?

$$|a| = -|b|$$
$$|b| = -|a|$$
Intern
Joined: 16 Mar 2010
Posts: 47
Re: What is the sum of integers A and B? (1) |A| = -|B| (2) |B|  [#permalink]

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28 Apr 2012, 10:25
Answer is D, the scenarios in each case can only be true for 0. Each statement by itself is sufficient to derive this.
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Re: What is the sum of integers A and B? (1) |A| = -|B| (2) |B|  [#permalink]

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12 Sep 2017, 12:16
Find A+B

Modulus of any number is always +ve.

(1) |A| = -|B|
positive number is -ve * a positive number.... only possible if numebrs are equal to 0
so 0=-0 =>0 =0 . So basically here A and B both =0 .
=> A+B= 0
Sufficient

(2) |B| = -|A|

Same description as above
both A and B = 0. => A+B =0
sufficient

Answer: D
Re: What is the sum of integers A and B? (1) |A| = -|B| (2) |B| &nbs [#permalink] 12 Sep 2017, 12:16
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