Find all School-related info fast with the new School-Specific MBA Forum

It is currently 27 Apr 2015, 09:25

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Find a possible value of a+b given the equations

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 17 Dec 2012
Posts: 395
Location: India
Followers: 19

Kudos [?]: 242 [0], given: 10

Find a possible value of a+b given the equations [#permalink] New post 03 Jan 2013, 03:36
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

50% (04:14) correct 50% (03:03) wrong based on 14 sessions
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 Test Prep
http://www.sravna.com

Classroom Courses in Chennai
Free Online Material

Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 5433
Location: Pune, India
Followers: 1325

Kudos [?]: 6720 [0], given: 176

Re: Find a possible value of a+b given the equations [#permalink] New post 03 Jan 2013, 09:30
Expert's post
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...
Answer (C)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Veritas Prep GMAT course is coming to India. Enroll in our weeklong Immersion Course that starts March 29!

Veritas Prep Reviews

Re: Find a possible value of a+b given the equations   [#permalink] 03 Jan 2013, 09:30
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic For the system of equations given, what is the value of z? Bunuel 6 11 Sep 2012, 03:46
1 Experts publish their posts in the topic Find all possible values of X adgir 7 08 Jan 2012, 20:02
21 Experts publish their posts in the topic In a certain company, the formula for maximizing profits is wcgc 15 09 Feb 2009, 02:12
solving abs value equations jimjohn 2 31 Oct 2007, 05:39
Abs Value Equation w07 2 16 Jul 2005, 06:42
Display posts from previous: Sort by

Find a possible value of a+b given the equations

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.