Last visit was: 03 Aug 2024, 07:14 It is currently 03 Aug 2024, 07:14
Toolkit
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

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.

# A, B, C are three consecutive positive integers (A>B>C). What is the

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94776
Own Kudos [?]: 646273 [8]
Given Kudos: 86843
Manager
Joined: 13 Sep 2015
Status:In the realms of Chaos & Night
Posts: 124
Own Kudos [?]: 638 [7]
Given Kudos: 98
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6804
Own Kudos [?]: 30926 [1]
Given Kudos: 799
General Discussion
Retired Moderator
Joined: 08 Dec 2013
Status:Greatness begins beyond your comfort zone
Posts: 2090
Own Kudos [?]: 9018 [1]
Given Kudos: 171
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
1
Bookmarks
A= C+2
=> C = A-2
A= B+1
=> B = A-1

Since the answer options contain variable A , we have to write B and C in terms of A .
2A +B +3C = 2A + (A-1) +3(A-2)
=2A + A-1 + 3A -6
=6A -7
Current Student
Joined: 18 Oct 2014
Posts: 679
Own Kudos [?]: 1794 [0]
Given Kudos: 69
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
Bunuel wrote:
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +3C?

A. 6A+7.
B. 5A+1.
C. 5A-1.
D. 6A-5.
E. 6A-7.

B = A-1
C= A-2

Putting these values in 2A +B +3C we get 6A-7

Manager
Joined: 22 Nov 2016
Posts: 203
Own Kudos [?]: 280 [0]
Given Kudos: 50
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
Assign some simple values, A=3, B=2, C=1
2A+B+3C = 11
For questions of these type where GMAT asks the value, I always start from E.
Lo and behold. E is the answer because 6*3-7=11
Senior SC Moderator
Joined: 22 May 2016
Posts: 5325
Own Kudos [?]: 35828 [0]
Given Kudos: 9464
A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
Bunuel wrote:
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +3C?

A. 6A+7.
B. 5A+1.
C. 5A-1.
D. 6A-5.g
E. 6A-7.

A > B > C
3 > 2 > 1
A>(A-1)>(A-2)

What is 2A + B + 3C?

(2)(A) + (A-1) + 3(A-2) =

2A + A - 1 + 3A - 6 =

Manager
Joined: 09 Apr 2017
Status:Turning my handicaps into assets
Posts: 113
Own Kudos [?]: 45 [1]
Given Kudos: 135
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
1
Bookmarks
Just for curiosity...I've tried another method to test:
(A+1) for A;
(A) for B;
(A-1) for C

Since A>B>C, it would be (A-1)A(A+1)- three consecutive integers. Then plugging in given calculation : 2A+B+3C, we will get the following:

2(A+1)+A+3(A-1)= 2A+2+A+3A-3=6A-1

What I miss here?
Intern
Joined: 26 Nov 2016
Posts: 45
Own Kudos [?]: 6 [0]
Given Kudos: 13
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
Damn I feel like a loser for getting it wrong. I picked A...
Director
Joined: 02 Sep 2016
Posts: 525
Own Kudos [?]: 195 [0]
Given Kudos: 277
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
Bunuel

I tried to solve it by two ways but only one works in this case. Please explain why so?

A= a
B=a-1
C= a-2

We will get E as the answer after plugging in these values in the expression given.

But if we take:

A= a+2
B= a+1
C= a

2a+4+ a+1+ 3a
= 6a+ 5

Where did I go wrong in the second method?
Math Expert
Joined: 02 Sep 2009
Posts: 94776
Own Kudos [?]: 646273 [1]
Given Kudos: 86843
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
1
Bookmarks
Shiv2016 wrote:
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +3C?

A. 6A+7.
B. 5A+1.
C. 5A-1.
D. 6A-5.
E. 6A-7.

Bunuel

I tried to solve it by two ways but only one works in this case. Please explain why so?

A= a
B=a-1
C= a-2

We will get E as the answer after plugging in these values in the expression given.

But if we take:

A= a+2
B= a+1
C= a

2a+4+ a+1+ 3a
= 6a+ 5

Where did I go wrong in the second method?

We need the value in terms of A. What is A in your second method? A = a + 2, so a = A - 2. Thus, 6a+ 5 = 6(A - 2) + 5 = 6A - 7 (Answer: E).
Director
Joined: 13 Mar 2017
Posts: 624
Own Kudos [?]: 604 [0]
Given Kudos: 88
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE:Engineering (Energy and Utilities)
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
Bunuel wrote:
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +3C?

A. 6A+7.
B. 5A+1.
C. 5A-1.
D. 6A-5.
E. 6A-7.

Since A, B, C are three consecutive integers (A>B>C)

C = A-2
B = A-1

So, 2A+B+3C = 2A + A-1 +3 (A-2) = 6A - 7

Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19249
Own Kudos [?]: 22783 [0]
Given Kudos: 286
Location: United States (CA)
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
Bunuel wrote:
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +3C?

A. 6A+7.
B. 5A+1.
C. 5A-1.
D. 6A-5.
E. 6A-7.

Since the integers A, B, and C are consecutive integers (with A > B > C) and we see that the answer choices are in terms of A, we can say B = A - 1 and C = A - 2. Thus:

2A + B + 3C = 2A + A - 1 + 3(A - 2) = 3A - 1 + 3A - 6 = 6A - 7

Manager
Joined: 13 Mar 2013
Posts: 135
Own Kudos [?]: 297 [0]
Given Kudos: 25
Location: United States
GPA: 3.5
WE:Engineering (Telecommunications)
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
2 ways of doing it
1.
let a,b,c = x, x-1, x-2 and then apply the condition which will get us E

2.
let a, b, c = x+2,x+1,x and then apply the condition ....but in this case the value is not present in the option .

either approach can be taken depending on the value of the option .
Director
Joined: 04 Sep 2015
Posts: 540
Own Kudos [?]: 441 [0]
Given Kudos: 123
Location: India
WE:Information Technology (Computer Software)
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
Bunuel wrote:
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +3C?

A. 6A+7.
B. 5A+1.
C. 5A-1.
D. 6A-5.
E. 6A-7.

Simply assume three consecutive numbers and do POI in the answer choices.
let A=8,B=7 and C=6. Since A>B>C

2A+B+3C=41.
option E gives 48-7=41

OPtion E is the correct choice.
Non-Human User
Joined: 09 Sep 2013
Posts: 34222
Own Kudos [?]: 857 [0]
Given Kudos: 0
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: A, B, C are three consecutive positive integers (A>B>C). What is the [#permalink]
Moderator:
Math Expert
94776 posts