Last visit was: 08 Jun 2024, 09:56 It is currently 08 Jun 2024, 09:56
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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
VP
VP
Joined: 29 Aug 2012
Status:Chasing my MBB Dream!
Posts: 1056
Own Kudos [?]: 6300 [1]
Given Kudos: 330
Location: United States (DC)
WE:General Management (Aerospace and Defense)
Send PM
Math Expert
Joined: 02 Sep 2009
Posts: 93606
Own Kudos [?]: 630068 [2]
Given Kudos: 82186
Send PM
Senior Manager
Senior Manager
Joined: 24 Nov 2015
Posts: 406
Own Kudos [?]: 125 [0]
Given Kudos: 231
Location: United States (LA)
Send PM
User avatar
Current Student
Joined: 18 Oct 2014
Posts: 679
Own Kudos [?]: 1771 [0]
Given Kudos: 69
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
Send PM
Re: If 3a + 2b – 4 = a – b, what is the value of b ? [#permalink]
Gnpth wrote:
If 3a + 2b – 4 = a – b, what is the value of b ?

(1) 2a^2 = 50

(2) 4a = 20


3a + 2b – 4 = a – b
2a+3b= 4

(1) 2a^2 = 50
'a' can be +5 or -5, and hence it will give different values for 'b'

Not Sufficient.

(2) 4a = 20
a= 5

Sufficient.

Putting the value of a in the equation gives the value of b.

B is the answer
Senior Manager
Senior Manager
Joined: 05 Sep 2016
Status:DONE!
Posts: 273
Own Kudos [?]: 101 [0]
Given Kudos: 283
Send PM
Re: If 3a + 2b – 4 = a – b, what is the value of b ? [#permalink]
B is correct. Here's why:

(1) 2(a^2) = 50 --> a^2 = 25 --> a = +/- 5

INSUFFICIENT

(2) 4a = 20 --> a = 5

Plug into main equation --> 2(5) + 3b - 4 = 0 --> solve for b

SUFFICIENT
Senior Manager
Senior Manager
Joined: 28 Feb 2014
Posts: 467
Own Kudos [?]: 570 [0]
Given Kudos: 74
Location: India
Concentration: General Management, International Business
GMAT 1: 570 Q49 V20
GPA: 3.97
WE:Engineering (Education)
Send PM
Re: If 3a + 2b – 4 = a – b, what is the value of b ? [#permalink]
Given is 3a + 2b = a - b + 4
2a + 3b = 4. Now value of b is to be calculated
(1) Insufficient: a^2 = 25
a = 5 or -5. Hence, b will have 2 values.

(2) Sufficient: a = 5, hence b = -2.
the correct answer is B.
GMAT Club Bot
Re: If 3a + 2b – 4 = a – b, what is the value of b ? [#permalink]
Moderator:
Math Expert
93606 posts