GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Jan 2019, 09:06

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# If |2x − 5| = 25 − x, what is the sum of the two possible values of x?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52161
If |2x − 5| = 25 − x, what is the sum of the two possible values of x?  [#permalink]

### Show Tags

10 Apr 2018, 03:13
00:00

Difficulty:

5% (low)

Question Stats:

83% (00:57) correct 17% (01:05) wrong based on 144 sessions

### HideShow timer Statistics

If |2x − 5| = 25 − x, what is the sum of the two possible values of x?

A. -20
B. -10
C. 10
D. 20
E. 30

_________________
Director
Joined: 31 Oct 2013
Posts: 951
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If |2x − 5| = 25 − x, what is the sum of the two possible values of x?  [#permalink]

### Show Tags

10 Apr 2018, 03:24
Bunuel wrote:
If |2x − 5| = 25 − x, what is the sum of the two possible values of x?

A. -20
B. -10
C. 10
D. 20
E. 30

Case 1: 2x-5 is positive:

2x-5=25-x
x=10

case 2: 2x-5 is negative :

-(2x-5)=25-x
-2x + 5 = 25-x
x= -20

so, the sum of 2 possible values od x = 10 + (-20)
=-10

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4518
Location: United States (CA)
Re: If |2x − 5| = 25 − x, what is the sum of the two possible values of x?  [#permalink]

### Show Tags

11 Apr 2018, 15:18
Bunuel wrote:
If |2x − 5| = 25 − x, what is the sum of the two possible values of x?

A. -20
B. -10
C. 10
D. 20
E. 30

When (2x - 5) is positive, we have:

2x - 5 = 25 - x

3x = 30

x = 10

When (2x - 5) is negative we have:

-2x + 5 = 25 - x

-20 = x

So the sum is 10 + (-20) = -10.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If |2x − 5| = 25 − x, what is the sum of the two possible values of x? &nbs [#permalink] 11 Apr 2018, 15:18
Display posts from previous: Sort by