Last visit was: 11 Dec 2024, 21:37 It is currently 11 Dec 2024, 21:37
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 11 Dec 2024
Posts: 97,815
Own Kudos:
Given Kudos: 88,242
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,815
Kudos: 685,166
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Archit3110
User avatar
GMAT Club Legend
Joined: 18 Aug 2017
Last visit: 11 Dec 2024
Posts: 8,116
Own Kudos:
4,493
 [2]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Focus 1: 545 Q79 V79 DI73
Posts: 8,116
Kudos: 4,493
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
KSBGC
Joined: 31 Oct 2013
Last visit: 10 Mar 2022
Posts: 1,257
Own Kudos:
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Posts: 1,257
Kudos: 1,307
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
js17
Joined: 18 Aug 2017
Last visit: 27 Nov 2024
Posts: 15
Own Kudos:
4
 [3]
Given Kudos: 104
Location: India
Concentration: Strategy, Technology
Schools: ISB '20
GMAT 1: 680 Q50 V35
GPA: 3.7
WE:Management Consulting (Consumer Electronics)
Schools: ISB '20
GMAT 1: 680 Q50 V35
Posts: 15
Kudos: 4
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
a+b=12+2c
and
3*(a+b)+c=22
so
c=-2

A is correct
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 02 Oct 2024
Posts: 6,014
Own Kudos:
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 6,014
Kudos: 4,948
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If a + b − 2c = 12, and 3a + 3b + c = 22, what is the value of c ?

A. −2
B. 0
C. 10
D. 17
E. 34
\(a + b − 2c = 12\)

Or, \(3a + 3b − 6c = 36\) & \(3a + 3b + c = 22\)

Now, \(( 3a + 3b − 6c ) - ( 3a + 3b + c ) = 36 - 22\)

Or, \(-7c = 14\)

or, \(c = -2\), Answer must be (A)
User avatar
TheNightKing
Joined: 18 Dec 2017
Last visit: 20 Mar 2024
Posts: 1,154
Own Kudos:
Given Kudos: 421
Location: United States (KS)
GMAT 1: 600 Q46 V27
GMAT 1: 600 Q46 V27
Posts: 1,154
Kudos: 1,133
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If a + b − 2c = 12, and 3a + 3b + c = 22, what is the value of c ?

A. −2
B. 0
C. 10
D. 17
E. 34

a + b − 2c = 12
3a + 3b + c = 22

3 variables 2 equations obviously mean that we will have to modify equations and cancel the undesired variables.

3(a + b − 2c) = 3(12) becomes 3a+3b-6c=36

So now we have
3a+3b-6c=36
3a + 3b + c = 22

Subtract 2 from 1. We get -7c=14. c=-2.

Option A.
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 11 Dec 2024
Posts: 19,855
Own Kudos:
Given Kudos: 288
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 19,855
Kudos: 24,260
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If a + b − 2c = 12, and 3a + 3b + c = 22, what is the value of c ?

A. −2
B. 0
C. 10
D. 17
E. 34

Multiplying the first equation by -3, we have:

-3a - 3b + 6c = -36

Adding the two equations together, we have:

7c = -14

c = -2

Answer: A
User avatar
hiranmay
Joined: 12 Dec 2015
Last visit: 22 Jun 2024
Posts: 461
Own Kudos:
Given Kudos: 84
Posts: 461
Kudos: 551
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If a + b − 2c = 12, and 3a + 3b + c = 22, what is the value of c ?

A. −2 --> correct: a + b − 2c = 12 => a+b = 12+2c; and 3a + 3b + c = 22 => 3(a+b)+c =22, replacing a+b =12+2c, 3*(12+2c) +c =22 => 7c = -14 => c =-2
B. 0
C. 10
D. 17
E. 34
Moderator:
Math Expert
97815 posts