GMAT Data Sufficiency (DS) | Re: If x and y are non-zero integers and |x| + |y| = 32, what is

If x and y are non-zero integers and |x| + |y| = 32, what isxy?



(1) -4x – 12y = 0
-4x = 12y
x = -3y

|x| + |y| = 32
|-3y| + |y| = 32
4y = 32
y=8

x = -3y
x = -3(8)
x=-24

xy =(-24)*(8)
SUFFICIENT

(2) |x| – |y| = 16

|x| – |y| = 16
|x| + |y| = 32
2|x|=48
|x|=24
x=24,x=-24

x=24
|x| – |y| = 16
|24| - |y| = 16
24 - |y| = 16
- |y| = -8
|y| = 8
y=8 OR y=-8

If x is 24, y could = 8 or -8 meaning xy could be positive or negative.
INSUFFICIENT

(A)
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