GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 10 Aug 2022, 03:56
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
If a, b, and c are consecutive positive integers where a < b < c, and
5 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 86557
CAT Tests Top Member of the Month
If a, b, and c are consecutive positive integers where a < b < c, and [#permalink] New post  22 May 2020, 08:58
4
Bookmarks
Expert Reply
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

85% (01:44) correct 15% (01:48) wrong based on 165 sessions

Hide Show timer Statistics

If a, b, and c are consecutive positive integers where a < b < c, and c - a = 16/b, then a + b + c =

A. 30
B. 24
C. 18
D. 12
E. 6


PS20355
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Expert Reply
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 6759
Location: Canada
Top Member of the Month
Re: If a, b, and c are consecutive positive integers where a < b < c, and [#permalink] New post  22 May 2020, 17:27
1
Kudos
3
Bookmarks
Expert Reply
Top Contributor
Bunuel wrote:
If a, b, and c are consecutive positive integers where a < b < c, and c - a = 16/b, then a + b + c =

A. 30
B. 24
C. 18
D. 12
E. 6
PS20355


If a, b, and c are consecutive positive integers where a < b < c, then we know that:
a + 1 = b
And, more importantly, a + 2 = c
If a + 2 = c, then c - a = 2

GIVEN: c - a = 16/b
Substitute to get: 2 = 16/b
Solve: b = 8

So, a, b and c equal 7, 8, and 9 respectively
This means a + b + c = 7 + 8+ 9 = 24

Answer: B

Cheers,
Brent
_________________
Brent Hanneson – Creator of gmatprepnow.com
I’ve spent the last 20 years helping students overcome their difficulties with GMAT math, and the biggest thing I’ve learned is…
Many students fail to maximize their quant scores NOT because they lack the skills to solve certain questions but because they don’t understand what the GMAT is truly testing - Learn more
Signature Read More
General Discussion
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 7103
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE:Marketing (Energy and Utilities)
GMAT ToolKit User Reviews Badge CAT Tests
Re: If a, b, and c are consecutive positive integers where a < b < c, and [#permalink] New post  22 May 2020, 09:07
Bunuel wrote:
If a, b, and c are consecutive positive integers where a < b < c, and c - a = 16/b, then a + b + c =

A. 30
B. 24
C. 18
D. 12
E. 6


PS20355

c - a = 16/b
x+2-x= 16/x+1
x= 7
so a+b+c ; 7+8+9 ; 24
OPTION B
avatar
G
NitishJain
IESE School Moderator
Joined: 11 Feb 2019
Posts: 296
Re: If a, b, and c are consecutive positive integers where a < b < c, and [#permalink] New post  24 May 2020, 00:02
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
_________________

Cheers,
NJ
Signature Read More
User avatar
L
CrackverbalGMAT
CrackVerbal Representative
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4990
Location: India
Re: If a, b, and c are consecutive positive integers where a < b < c, and [#permalink] New post  29 Oct 2021, 21:44
Expert Reply
Top Contributor
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
_________________

- Crackverbal Prep Team


Image

What Our Students Say:


WITOW - Score: 770 Q51 V44 | ★★★★★
MadPat - Score: 760 Q49 V44 | ★★★★★

The Best GMAT Content Online:


Watch Free GMAT Guides on YouTube
A One-Stop Blog for GMAT & MBA

Connect with our LinkedIn community
Signature Read More
GMAT Club Bot
gmatclubot
Re: If a, b, and c are consecutive positive integers where a < b < c, and [#permalink]
29 Oct 2021, 21:44
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10477 posts
Bunuel
Math Expert
86557 posts
generis
Senior SC Moderator
5453 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3025 posts

cron

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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions