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

 It is currently 16 Feb 2019, 21:50

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Algebra Webinar

February 17, 2019

February 17, 2019

07:00 AM PST

09:00 AM PST

Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
• ### Free GMAT Strategy Webinar

February 16, 2019

February 16, 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 x and y are positive integers and 2x – 3 = 6 – 3y,

Author Message
Manager
Joined: 10 Apr 2018
Posts: 182
If x and y are positive integers and 2x – 3 = 6 – 3y,  [#permalink]

### Show Tags

25 Sep 2018, 19:51
2
00:00

Difficulty:

25% (medium)

Question Stats:

79% (00:56) correct 21% (01:17) wrong based on 48 sessions

### HideShow timer Statistics

If x and y are positive integers and 2x – 3 = 6 – 3y, what is the least possible value of x?

(A) 1
(B)2
(C)3
(D)4
(E)5
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2775
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If x and y are positive integers and 2x – 3 = 6 – 3y,  [#permalink]

### Show Tags

25 Sep 2018, 21:52
Probus wrote:
If x and y are positive integers and 2x – 3 = 6 – 3y, what is the least possible value of x?

(A) 1
(B)2
(C)3
(D)4
(E)5

2x – 3 = 6 – 3y,
i.e. 2x + 3y = 9

One solution is x = 0 and y = 3

CONCEPT: To find other solutions one can always remember that the value of x changes by the coefficient of y (3 in this case) and value of y changes as much as the coefficient of x (2 in this case

i.e. Next solution will be x = 3 and y = 1 (Both are positive Integers

i.e. Least positive integer value of x for integer solution of this equation is 3

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Intern
Joined: 25 Sep 2018
Posts: 3
Re: If x and y are positive integers and 2x – 3 = 6 – 3y,  [#permalink]

### Show Tags

25 Sep 2018, 21:53
Use the ordered pair (3,1):
2x-3=6-3y
2(3)-3=6-3(1)
6-3=6-3
3=3

Posted from my mobile device
Intern
Joined: 17 Apr 2013
Posts: 29
Re: If x and y are positive integers and 2x – 3 = 6 – 3y,  [#permalink]

### Show Tags

03 Oct 2018, 15:34
Solve it by only remaining y as the following:
2x-3=6-3y
2x-9=-3y
-2/3*x +3 =y
In order for y to be a positive number, x should be multiples of 3.
So, x= 3 and y=1
Re: If x and y are positive integers and 2x – 3 = 6 – 3y,   [#permalink] 03 Oct 2018, 15:34
Display posts from previous: Sort by