Find x+y
$$Statement\ 1:\ x^y=4$$
Given that x<y, the only value that satisfies the given equation is when x=-2 and y=2;
$$i.e\ -2^2=4$$
Therefore, x+y = -2+2 = 0, hence, statement 1 is SUFFICIENT.
Statement 2: |x|=|y|
If x and y are both positive, their absolute value will be the same.
Also, if x and y are both negative, their absolute value will be the same.
Since |x|=|y|
x=-y
Therefore, x+y = -y+y = 0
Statement 2 is SUFFICIENT.
Each statement alone is sufficient. So, option D is the correct answer.
Thanks
If \(x\) and \(y\) are integers and \(x< y\), what is the
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Source: Beat The GMAT — Data Sufficiency |
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deloitte247
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