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If \(x\) and \(y\) are integers and \(x< y\), what is the

Expert replies
Source: — Data Sufficiency |

by deloitte247 » Sat Sep 21, 2019 8:58 pm
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
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