What is the sum of integers A and B? (1) |A| = -|B| (2) |B| : GMAT Data Sufficiency (DS)
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# What is the sum of integers A and B? (1) |A| = -|B| (2) |B|

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Director
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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, 11:02
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What is the sum of integers A and B?

(1) |A| = -|B|
(2) |B| = -|A|
[Reveal] Spoiler: OA

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Director
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14 Jun 2007, 13:58
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
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What is the sum of integers A and B ? 1. /A/ = -/B/ 2. /B/ = [#permalink]

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03 Sep 2010, 13:32
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!
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03 Sep 2010, 13:59
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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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Re: sum of integers A and B [#permalink]

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10 Oct 2010, 01:29
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

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10 Nov 2010, 05:55
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
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Re: How Statement 1 & 2 can be theroretically possible [#permalink]

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24 Nov 2010, 00:40
A module is always positive, therefore for the equations to be true both A and B = 0. In this case A+B=0.

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

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07 Oct 2011, 06:29
This question is some way
|A| denotes the positive value of A. So how can that be equal to a negative number?
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Re: What is the sum of integers A and B ? 1. /A/ = -/B/ 2. /B/ = [#permalink]

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15 Feb 2012, 02:36
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, 08:29
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 $$b$$ ?

$$|a| = -|b|$$
$$|b| = -|a|$$
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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, 09:25
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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06 Feb 2015, 09:04
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Re: What is the sum of integers A and B? (1) |A| = -|B| (2) |B| [#permalink]

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08 Mar 2016, 02:10
Hello from the GMAT Club BumpBot!

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Re: What is the sum of integers A and B? (1) |A| = -|B| (2) |B|   [#permalink] 08 Mar 2016, 02:10
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