If x and y are integers and x<y, what is the value of x+y

[BTGmoderatorDC]

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

[Jay@ManhattanReview]

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

Given: x and y are integers and x < y.

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
_________________
Manhattan Review GMAT Prep

Locations: GRE Manhattan | ACT Prep Courses San Francisco | IELTS Prep Courses Boston | Seattle IELTS Tutoring | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.