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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.