Last visit was: 27 Mar 2025, 10:48 It is currently 27 Mar 2025, 10:48
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: 27 March 2025
Posts: 100,113
Own Kudos:
Given Kudos: 92,732
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 100,113
Kudos: 711,357
 [27]
1
Kudos
Add Kudos
26
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,769
Own Kudos:
33,154
 [12]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,769
Kudos: 33,154
 [12]
6
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
General Discussion
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 27 March 2025
Posts: 8,173
Own Kudos:
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)
GMAT Focus 1: 545 Q79 V79 DI73
Posts: 8,173
Kudos: 4,646
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
NitishJain
User avatar
IESE School Moderator
Joined: 11 Feb 2019
Last visit: 05 Jan 2025
Posts: 270
Own Kudos:
Given Kudos: 53
Posts: 270
Kudos: 184
Kudos
Add Kudos
Bookmarks
Bookmark this Post
B.

a,b, c are consecutive integers and a<b<c so the difference c-a = 2;
We have given c-a = 16/b
OR b = 16/(c-a). ==> b = 8

==> a= 7; b= 8; c =9
a+b+c = 7+8+9 = 24
User avatar
CrackverbalGMAT
User avatar
Major Poster
Joined: 03 Oct 2013
Last visit: 27 Mar 2025
Posts: 4,862
Own Kudos:
Given Kudos: 226
Affiliations: CrackVerbal
Location: India
Expert
Expert reply
Posts: 4,862
Kudos: 8,386
Kudos
Add Kudos
Bookmarks
Bookmark this Post
a, b, and c are consecutive positive integers where a < b < c

So,b = a + 1

c = a + 2

a + b + c = a + a+1 + a+2

=3a + 3

=3(a+1)

=3b...(1) [As a + 1 =b]

c - a = 16/b

=>a+2 - a =16/b

=>b=8

So, in equation 1,

a +b +c = 3b =3 * 8 =24
(option b)
D.S
GMAT SME

User avatar
BrushMyQuant
Joined: 05 Apr 2011
Last visit: 11 Mar 2025
Posts: 2,193
Own Kudos:
2,385
 [1]
Given Kudos: 100
Status:Tutor - BrushMyQuant
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Expert
Expert reply
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
Posts: 2,193
Kudos: 2,385
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given that a, b, and c are consecutive positive integers where a < b < c, and c - a = 16/b and we need to find the value of a + b + c

As a, b and c are consecutive positive integers
=> b = a + 1
=> c = b + 1 = a + 2

=> c - a = a + 2 - a = 2 = \(\frac{16}{b}\) (given)
=> b = \(\frac{16}{2}\) = 8

=> a = b - 1 = 7
=> c = b + 1 = 9

=> a + b + c = 7 + 8 + 9 = 24

So, Answer will be B
Hope it helps!

Watch the following video to learn How to Sequence problems

User avatar
DanTheGMATMan
Joined: 02 Oct 2015
Last visit: 26 Mar 2025
Posts: 328
Own Kudos:
Given Kudos: 9
Expert
Expert reply
Posts: 328
Kudos: 145
Kudos
Add Kudos
Bookmarks
Bookmark this Post
­Easy if you realize that c-a=2:

Moderators:
Math Expert
100113 posts
PS Forum Moderator
518 posts