If x and y are integers and x<y, what is the value of x+y?
(1) x^y = 4
(2) |x| = |y|
OA D
Soure: Manhattan Prep
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If x and y are integers and x<y, what is the value of x+y
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BTGmoderatorDC
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Jay@ManhattanReview
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Given: x and y are integers and x < y.BTGmoderatorDC wrote:If x and y are integers and x<y, what is the value of x+y?
(1) x^y = 4
(2) |x| = |y|
OA D
Soure: Manhattan Prep
We have to find out the value of x + y.
Let's take each statement one by one.
(1) x^y = 4
Since x < y, we cannot have scerios such as 4^1 = 4 and 2^2 = 4. The only scenerio possible is (-2)^2 = 4; thus, x = y = -2 + 2 = 0. Sufficient.
(2) |x| = |y|
With the same reasoning stated in Statement 1, we cannot have a scenario 2^2 = 4. The only scenerio possible is (-2)^2 = 4; thus, x = y = -2 + 2 = 0. Sufficient.
The correct answer: D
Hope this helps!
-Jay
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