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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!

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.

Re: What is the sum of integers A and B? (1) |A| = -|B| (2) |B| [#permalink]

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06 Feb 2015, 10:04

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Re: What is the sum of integers A and B? (1) |A| = -|B| (2) |B| [#permalink]

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Re: What is the sum of integers A and B? (1) |A| = -|B| (2) |B| [#permalink]

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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