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

 It is currently 11 Dec 2018, 18:01

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# If 2x + y = 18 and 3x = 17 + y, what is the value of x?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51100
If 2x + y = 18 and 3x = 17 + y, what is the value of x?  [#permalink]

### Show Tags

13 May 2018, 20:23
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:39) correct 11% (01:10) wrong based on 102 sessions

### HideShow timer Statistics

If 2x + y = 18 and 3x = 17 + y, what is the value of x?

A. 1
B. 4
C. 7
D. 9
E. 13

_________________
Manager
Joined: 05 Jan 2014
Posts: 67
Location: India
GMAT 1: 610 Q47 V26
GPA: 3.76
WE: Information Technology (Computer Software)
Re: If 2x + y = 18 and 3x = 17 + y, what is the value of x?  [#permalink]

### Show Tags

13 May 2018, 20:27
IMO C

1st eqn: 2*x + y = 18
2nd eqn; 3*x - y = 17
Adding both: 5*x = 35 or x = 7
Manager
Joined: 28 Jul 2016
Posts: 137
Location: India
GPA: 3.97

### Show Tags

30 Jun 2018, 05:30
If 2x+y=18 and 3x=17+y, what is the value of x?
A. 1
B. 4
C. 7
D. 9
E. 13
_________________

Please give Kudos. Kudos encourage active discussions and help the community grow

Senior SC Moderator
Joined: 22 May 2016
Posts: 2204

### Show Tags

30 Jun 2018, 05:39
globaldesi wrote:
If 2x+y=18 and 3x=17+y, what is the value of x?
A. 1
B. 4
C. 7
D. 9
E. 13

Rewrite $$3x=17+y$$, then add the equations

$$3x-y=17$$ and
$$2x+y=18$$
-----------------------
$$5x=35$$
$$x=7$$

CEO
Joined: 11 Sep 2015
Posts: 3231
Re: If 2x+y=18 and 3x=17+y  [#permalink]

### Show Tags

30 Jun 2018, 05:40
Top Contributor
globaldesi wrote:
If 2x+y=18 and 3x=17+y, what is the value of x?
A. 1
B. 4
C. 7
D. 9
E. 13

Let's use the elimination method...

GIVEN:
2x + y = 18
3x = 17 + y

Take 3x = 17 + y and subtract y from both sides to get: 3x - y = 17

We now have:
2x + y = 18
3x - y = 17

ADD the two equations to get: 5x = 35
Solve: x = 7

Cheers,
Brent
_________________

Test confidently with gmatprepnow.com

Math Expert
Joined: 02 Sep 2009
Posts: 51100
Re: If 2x + y = 18 and 3x = 17 + y, what is the value of x?  [#permalink]

### Show Tags

30 Jun 2018, 09:13
globaldesi wrote:
If 2x+y=18 and 3x=17+y, what is the value of x?
A. 1
B. 4
C. 7
D. 9
E. 13

Merging topics. Please check the discussion above.
_________________
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4278
Location: United States (CA)
Re: If 2x + y = 18 and 3x = 17 + y, what is the value of x?  [#permalink]

### Show Tags

04 Jul 2018, 18:28
Bunuel wrote:
If 2x + y = 18 and 3x = 17 + y, what is the value of x?

A. 1
B. 4
C. 7
D. 9
E. 13

Manipulating the second equation, we have:

3x - y = 17

2x + y = 18
+ 3x - y = 17

5x = 35

x = 7

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4273
Location: India
GPA: 3.5
Re: If 2x + y = 18 and 3x = 17 + y, what is the value of x?  [#permalink]

### Show Tags

05 Jul 2018, 07:52
Bunuel wrote:
If 2x + y = 18 and 3x = 17 + y, what is the value of x?

A. 1
B. 4
C. 7
D. 9
E. 13

$$6x = 54 - 3y$$------------------------(I)
$$6x = 34 + 2y$$-------------------------(II)

Or, $$54 - 3y = 34 + 2y$$

Or, $$5y = 20$$

So, $$y = 4$$

Hence $$x = \frac{34 + 8}{6}$$

Or, x = 7 , Answer must be (C)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If 2x + y = 18 and 3x = 17 + y, what is the value of x?  [#permalink]

### Show Tags

14 Jul 2018, 18:19
1
Bunuel wrote:
If 2x + y = 18 and 3x = 17 + y, what is the value of x?

A. 1
B. 4
C. 7
D. 9
E. 13

We have:

2x + y = 18

and

3x - y = 17

Adding the equations together, we see that the y terms cancel, and thus we have:

5x = 35

x = 7

_________________

Jeffery Miller

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

Senior Manager
Joined: 22 Feb 2018
Posts: 411
If 2x + y = 18 and 3x = 17 + y, what is the value of x?  [#permalink]

### Show Tags

15 Jul 2018, 01:25
OA: C
2x + y = 18 ......(1)
3x = 17 + y.......(2)

As 2x and 18 are even, this imply that y will be even.
We have to find value of x , but there is high probability that value of y would be one of wrong option.
only option B is even, so assuming the value of y =4, we can check whether (1) and (2) gives the same value of x.
Both equation are giving x= 7, when we put y=4 so our assumption was correct.
_________________

Good, good Let the kudos flow through you

If 2x + y = 18 and 3x = 17 + y, what is the value of x? &nbs [#permalink] 15 Jul 2018, 01:25
Display posts from previous: Sort by