Find a possible value of a+b given the equations : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 14:15

### 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 June
Open Detailed Calendar

# Find a possible value of a+b given the equations

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 17 Dec 2012
Posts: 447
Location: India
Followers: 26

Kudos [?]: 395 [0], given: 14

Find a possible value of a+b given the equations [#permalink]

### Show Tags

03 Jan 2013, 03:36
8
This post was
BOOKMARKED
00:00

Difficulty:

65% (hard)

Question Stats:

60% (03:52) correct 40% (03:03) wrong based on 86 sessions

### HideShow timer Statistics

If $$ax + by = 17$$ ,
$$2ax + 3by = 43$$

and $$3x =2y$$, which of the following is a possible value of $$a+b$$ if a and b are integers?

A. 6
B. 10
C. 14
D. 18
E. 20
[Reveal] Spoiler: OA

_________________

Srinivasan Vaidyaraman
Sravna
http://www.sravnatestprep.com

Classroom and Online Coaching

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7119
Location: Pune, India
Followers: 2131

Kudos [?]: 13631 [2] , given: 222

Re: Find a possible value of a+b given the equations [#permalink]

### Show Tags

03 Jan 2013, 09:30
2
KUDOS
Expert's post
2
This post was
BOOKMARKED
SravnaTestPrep wrote:
If $$ax + by = 17$$ ,
$$2ax + 3by = 43$$

and $$3x =2y$$, which of the following is a possible value of $$a+b$$ if a and b are integers?

A. 6
B. 10
C. 14
D. 18
E. 20

Too many variables! I will try to look at the big picture here.
We have two equations:
$$ax + by = 17$$ ,
$$2ax + 3by = 43$$

Twice of (ax + by) will be 34 so we get that 'by' must be 43 - 34 = 9
If by = 9, ax must be 17 - 9 = 8

Now, x/y = 2/3
ax/by = (a/b)*(2/3) = 8/9
So a/b = 4/3

Since a and b are integers, many such solutions are possible: a = 4, b = 3 OR a = 8, b = 6 etc. a+b will be 7/14/21...
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13430
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: Find a possible value of a+b given the equations [#permalink]

### Show Tags

14 Sep 2015, 08:54
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13430
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: Find a possible value of a+b given the equations [#permalink]

### Show Tags

15 Nov 2016, 11:19
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Find a possible value of a+b given the equations   [#permalink] 15 Nov 2016, 11:19
Similar topics Replies Last post
Similar
Topics:
7 If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is 1 25 Oct 2016, 14:59
4 If x^2 - y^2 = 101, find the value of x^2 + y^2, given that 2 12 Sep 2013, 23:26
In the ||gm, it is given AB=8 and BO=6 find BC 4 11 Aug 2013, 02:12
10 Find the value of a. Given a=√3(√3(√3(√3(√3…….inf.)))) 13 29 Aug 2012, 06:51
1 Find all possible values of X 7 08 Jan 2012, 20:02
Display posts from previous: Sort by

# Find a possible value of a+b given the equations

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.