• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• FREE GMAT Exam
Know how you'd score today for $0 Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

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

tagged by: Vincen

This topic has 1 expert reply and 0 member replies

### Top Member

Vincen Legendary Member
Joined
07 Sep 2017
Posted:
654 messages
Followed by:
3 members
6

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

Tue Dec 05, 2017 9:33 am
If x and y are integers and x
(1) x^y = 4
(2) |x| = |y|

The OA is D.

I don't know how to find the value of x+y. Experts, may you help me here? I would be thankful.

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
1059 messages
Followed by:
22 members
470
Tue Dec 05, 2017 11:52 pm
Vincen wrote:
If x and y are integers and x
(1) x^y = 4
(2) |x| = |y|

The OA is D.

I don't know how to find the value of x+y. Experts, may you help me here? I would be thankful.
We are given that x and y are integers and x < y. We have to find out the value of x+y.

(1) x^y = 4

Case1: Say x = y = 2, then 2^2 = 4. But x is not less than y, so this is not a valid case.
Case2: Say x = -2 and y = 2, then (-2)^2 = 4. We have x < y, so it's a valid case. The value of x + y = -2 + 2 = 0.
Case3: Say x = 4 and y = 1, then 4^1 = 4. But x is not less than y, so this is not a valid case.
Case4: Say x = âˆš2 and y = 4, then (âˆš2)^4 = 4. But x is not an integer, so this is not a valid case.

There is no other case possible. Thus, x = y = 0. Sufficient.

(2) |x| = |y|

Since |x| = |y| and x

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | New Delhi | Seoul | Cairo | and many more...

### Top First Responders*

1 GMATGuruNY 72 first replies
2 Rich.C@EMPOWERgma... 45 first replies
3 Brent@GMATPrepNow 43 first replies
4 Jay@ManhattanReview 27 first replies
5 ErikaPrepScholar 9 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 GMATGuruNY

The Princeton Review Teacher

133 posts
2 Rich.C@EMPOWERgma...

EMPOWERgmat

118 posts
3 Jeff@TargetTestPrep

Target Test Prep

105 posts
4 Max@Math Revolution

Math Revolution

93 posts
5 Scott@TargetTestPrep

Target Test Prep

92 posts
See More Top Beat The GMAT Experts