If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2898
Joined: 07 Sep 2017
Thanked: 6 times
Followed by:5 members

If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)

by Vincen » Fri Jan 28, 2022 4:47 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)

(1) \(x > 0\)
(2) \(x\) is an integer.

Answer: D

Source: Veritas Prep
Top
User avatar
GMAT Instructor
Posts: 15537
Joined: 25 May 2010
Location: New York, NY
Thanked: 13060 times
Followed by:1901 members
GMAT Score:790

Re: If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)

by GMATGuruNY » Thu Feb 03, 2022 5:50 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Vincen wrote: ↑
Fri Jan 28, 2022 4:47 am
 If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)

(1) \(x > 0\)
(2) \(x\) is an integer
Case 1: Signs unchanged
12x-3 = 3x+15
9x = 18
x = 2

Case 2: Signs changed in ONE of the absolute values
12x-3 = -3x-15
15x = -12
x = -12/15 = -4/5

Statement 1: x > 0
Since only Case 1 is viable, x=2.
SUFFICIENT.

Statement 2: x is an integer
Since only Case 1 is viable, x=2.
SUFFICIENT.

The correct answer is D.
Mitch Hunt
Private Tutor for the GMAT and GRE
[email protected]

If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon.

Available for tutoring in NYC and long-distance.
For more information, please email me at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Post new topic Post Reply
• Page 1 of 1