GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 26 Feb 2020, 09:46

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

S is the sum of three consecutive integers, the greatest of which is x

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 61508
S is the sum of three consecutive integers, the greatest of which is x  [#permalink]

Show Tags

New post 08 Mar 2019, 02:09
1
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (01:39) correct 23% (01:50) wrong based on 66 sessions

HideShow timer Statistics

GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5919
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Reviews Badge CAT Tests
S is the sum of three consecutive integers, the greatest of which is x  [#permalink]

Show Tags

New post Updated on: 08 Mar 2019, 04:00
1
Bunuel wrote:
S is the sum of three consecutive integers, the greatest of which is x. In terms of S, which of the following is the sum of three consecutive integers, the least of which is x?

A. S - 6
B. S - 3
C. S + 3
D. S + 6
E. 2S


greatest = x
so middle = x-1 and least = x-2
so x-2+x-1+x=S
3x=s+3
x=s/3+1
sum = 3x+3
or say
3*(s/3+1)+3
S+6
IMO D

Originally posted by Archit3110 on 08 Mar 2019, 03:36.
Last edited by Archit3110 on 08 Mar 2019, 04:00, edited 1 time in total.
Manager
Manager
avatar
B
Joined: 18 Jan 2018
Posts: 50
Re: S is the sum of three consecutive integers, the greatest of which is x  [#permalink]

Show Tags

New post 08 Mar 2019, 03:46
Let three consecutive integers be x-2, x-1, x

Sum of these three integers = 3x - 3 = 3(x-1) = S

From above equation, x = S/3 + 1

With least integer as x, the three consecutive integers now become: x, x+1, x+2

Sum of the new three consecutive integers = 3x+3 = 3(S/3 +1) + 3 = S+6

Answer is D.
Manager
Manager
avatar
B
Joined: 27 Nov 2018
Posts: 58
Re: S is the sum of three consecutive integers, the greatest of which is x  [#permalink]

Show Tags

New post 20 Jan 2020, 07:43
S = (x-2) + (x-1) + x = 3x-3
Next condition
Sum= x + (x+1) +(x+2) = 3x+3 = (3x-3) + 6 = S + 6 . So answer is D
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4848
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: S is the sum of three consecutive integers, the greatest of which is x  [#permalink]

Show Tags

New post 20 Jan 2020, 09:57
Bunuel wrote:
S is the sum of three consecutive integers, the greatest of which is x. In terms of S, which of the following is the sum of three consecutive integers, the least of which is x?

A. S - 6
B. S - 3
C. S + 3
D. S + 6
E. 2S


\(S = (x - 2) + ( x - 1 ) + x\)

Or, \(S = 3x - 3\)

When the least number is x the three numbers are -

\(x , ( x + 1 ) , ( x + 2 )\)

\(S_x\) is \(3x + 3\)

Thus, in terms of S, the sum of three consecutive integers is -

\(S + 6\) as \(3x - 3 + 6 = 3x + 3\), Answer must be (C)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1233
S is the sum of three consecutive integers, the greatest of which is x  [#permalink]

Show Tags

New post 20 Jan 2020, 14:52
Bunuel wrote:
S is the sum of three consecutive integers, the greatest of which is x. In terms of S, which of the following is the sum of three consecutive integers, the least of which is x?

A. S - 6
B. S - 3
C. S + 3
D. S + 6
E. 2S


let mean of S=x-1
let mean of S2=x+1
sum of S2=3(x+1)
sum of S=3(x-1)
3(x+1)-3(x-1)=6
S2=S+6
D
GMAT Club Bot
S is the sum of three consecutive integers, the greatest of which is x   [#permalink] 20 Jan 2020, 14:52
Display posts from previous: Sort by

S is the sum of three consecutive integers, the greatest of which is x

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





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