GMAT Changed on April 16th - Read about the latest changes here

It is currently 22 Apr 2018, 22:22

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If a + b + c = 50, what is the value of a ?

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44609
If a + b + c = 50, what is the value of a ? [#permalink]

Show Tags

New post 22 Feb 2018, 21:08
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

79% (00:36) correct 21% (00:29) wrong based on 91 sessions

HideShow timer Statistics

Manager
Manager
avatar
S
Joined: 31 May 2017
Posts: 162
CAT Tests
Re: If a + b + c = 50, what is the value of a ? [#permalink]

Show Tags

New post 22 Feb 2018, 21:37
1. c = 4a-6 , this does not give any information about exact numbers. Insufficient.

2. Average of b+c = 2a , which means b+c = 4a. But we do not have necessary information to calculate exact values. Insufficient. option 2

Now consider option 1 and 2 together , we can derive the value of a =10.

Ans: Option C
_________________

Resources
Ultimate GMAT Quantitative Megathread | ALL YOU NEED FOR QUANT ! ! ! | SC Blogs by Magoosh | How to improve your verbal score

DS Forum Moderator
avatar
G
Joined: 22 Aug 2013
Posts: 1027
Location: India
Premium Member CAT Tests
Re: If a + b + c = 50, what is the value of a ? [#permalink]

Show Tags

New post 22 Feb 2018, 22:41
Bunuel wrote:
If a + b + c = 50, what is the value of a ?

(1) c = 4a - 6

(2) The average of b and c is 2a.


Statement 1
c = 4a - 6, substituting this in original equation we get:
a + b + 4a - 6 = 50 or 5a + b = 56.
But until we know the value of b, we cannot find 'a'. So not sufficient.

Statement 2
Given, (b+c)/2 = 2a or b+c = 4a. Substituing this in original equation we get:
a + 4a = 50 or 5a = 50 or a=10. This is sufficient.

Hence B answer
1 KUDOS received
BSchool Forum Moderator
User avatar
G
Joined: 07 Jan 2016
Posts: 717
Location: India
GMAT 1: 710 Q49 V36
Reviews Badge
Re: If a + b + c = 50, what is the value of a ? [#permalink]

Show Tags

New post 23 Feb 2018, 00:16
1
This post received
KUDOS
Bunuel wrote:
If a + b + c = 50, what is the value of a ?

(1) c = 4a - 6

(2) The average of b and c is 2a.



1) C=4A-6 but there is no info about b insufficient

2) b+c/2 = 2a b+c = 4a

a+b+c = 50 substitute above value 5a=50 a =10

(B) imo
BSchool Forum Moderator
User avatar
G
Joined: 07 Jan 2016
Posts: 717
Location: India
GMAT 1: 710 Q49 V36
Reviews Badge
Re: If a + b + c = 50, what is the value of a ? [#permalink]

Show Tags

New post 23 Feb 2018, 00:17
akadiyan wrote:

2. Average of b+c = 2a , which means b+c = 4a.

Ans: Option C



now we know b+c = 4a

we have a+b+c=50
now substitute in the above value
a+4a = 50

a= 10

(B)
Manager
Manager
User avatar
B
Joined: 18 Nov 2009
Posts: 76
Location: Switzerland
Concentration: Entrepreneurship, Technology
GMAT 1: 740 Q47 V45
Re: If a + b + c = 50, what is the value of a ? [#permalink]

Show Tags

New post 12 Mar 2018, 06:53
Hi Bunuel

Answer here is shwn as D. How can one proceed to find the value of a with Statement 1 only?

Thanks
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44609
Re: If a + b + c = 50, what is the value of a ? [#permalink]

Show Tags

New post 12 Mar 2018, 07:15
Director
Director
User avatar
P
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 719
Location: India
Concentration: International Business, Operations
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Premium Member Reviews Badge
Re: If a + b + c = 50, what is the value of a ? [#permalink]

Show Tags

New post 12 Mar 2018, 08:48
akadiyan wrote:
1. c = 4a-6 , this does not give any information about exact numbers. Insufficient.

2. Average of b+c = 2a , which means b+c = 4a. But we do not have necessary information to calculate exact values. Insufficient. option 2

Now consider option 1 and 2 together , we can derive the value of a =10.

Ans: Option C



Average of b+c = 2a , which means b+c = 4a.

Replace b+c = 4a in the given equation and you will get

a + 4a = 50

a = 10

Sufficient (B)
_________________

"Success is not as glamorous as people tell you. It's a lot of hours spent in the darkness."

Re: If a + b + c = 50, what is the value of a ?   [#permalink] 12 Mar 2018, 08:48
Display posts from previous: Sort by

If a + b + c = 50, what is the value of a ?

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


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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.