himu wrote:If x and y are integers and x<y, what is the value of x+y?
(1) x^y=4
(2) |x|=|y|
Statement 1: x^y=4.
Given that x and y are integers, the only values of x and y such that x^y=4 and x<y are x=-2 and y=2.
Thus, x+y = -2+2 = 0.
SUFFICIENT.
Statement 2: |x| = |y|
Since both sides of the equation include absolute value, we can square both sides.
|x|² = |y|²
x² = y²
x²-y² = 0.
(x+y)(x-y) = 0.
Case 1: x+y=0.
Case 2: x-y=0, implying that x=y.
Since the question stem requires that x<y, case 2 is not valid.
Thus, x+y=0.
SUFFICIENT.
The correct answer is
D.
Last edited by
GMATGuruNY on Fri May 10, 2013 5:07 am, edited 2 times in total.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
