GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Oct 2019, 23:10

### 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

# In a series of twenty consecutive integers, the sum of the first two

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58398
In a series of twenty consecutive integers, the sum of the first two  [#permalink]

### Show Tags

23 Jan 2019, 01:53
00:00

Difficulty:

15% (low)

Question Stats:

77% (01:21) correct 23% (01:33) wrong based on 51 sessions

### HideShow timer Statistics

In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?

A 107

B 108

C 109

D 110

E 111

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In a series of twenty consecutive integers, the sum of the first two  [#permalink]

### Show Tags

23 Jan 2019, 08:05
Bunuel wrote:
In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?

A 107

B 108

C 109

D 110

E 111

given
2x+1 = 37
x= 18

last three digits
3x+17+18+19
54+54 = 108
IMO B
Senior SC Moderator
Joined: 22 May 2016
Posts: 3571
In a series of twenty consecutive integers, the sum of the first two  [#permalink]

### Show Tags

23 Jan 2019, 14:19
Bunuel wrote:
In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?

A 107

B 108

C 109

D 110

E 111

In a set of consecutive integers, the sum of the first two is 37

(1) First integer, $$x$$?
$$x + (x+1)=37$$
$$2x+1=37$$
$$x=18$$

(2) Last integer?
If $$x$$ is the first integer, and there are 20 integers total, then there are 19 more
Add 19 to $$x=18$$ (Consecutive = +1 for each integer in the set.)
$$18+19=37$$

If not sure, use a simpler example: There are 4 consecutive integers in the set.
$$x=18$$. List them. 18, 19, 20, 21
There are 4 integers, but we need only +3 added to $$x=18$$ to find the last integer.

20 integers in this set, but add only 19 to the first integer. $$18+19=37$$

(3) Sum of last three integers?

Last three integers: 37, 36, 35
Units digit = 8
(Or, 37 + 36 + 35 = 108)

_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.

Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver
VP
Joined: 07 Dec 2014
Posts: 1224
Re: In a series of twenty consecutive integers, the sum of the first two  [#permalink]

### Show Tags

23 Jan 2019, 15:36
Bunuel wrote:
In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?

A 107

B 108

C 109

D 110

E 111

let x=first integer
x+(x+1)=37
x=18
because 19th integer is mean of last three integers,
sum of last three integers=3*(18+18)=108
B
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8125
Location: United States (CA)
Re: In a series of twenty consecutive integers, the sum of the first two  [#permalink]

### Show Tags

27 Jan 2019, 19:24
Bunuel wrote:
In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?

A 107

B 108

C 109

D 110

E 111

Letting x = the first number in the set, we can create the equation:

x + x + 1 = 37

2x = 36

x = 18

The first integer is 18, and the second integer is 19. Note that the position number of the integer + 17 = the value of the integer. We see that for the 1st integer (position 1), we have 1 + 17 = 18. For the 2nd integer (position 2), we have 2 + 17 = 19. Thus, the 18th integer in the set is (18 + 17) = 35. The 19th integer in the set is (19 + 17) = 36, and the 20th integer in the set is (20 + 17) = 37.

We want the sum of the 18th, 19th, and 20th integers in the set.
Thus, the sum of the last three integers is:

35 + 36 + 37 = 108

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: In a series of twenty consecutive integers, the sum of the first two   [#permalink] 27 Jan 2019, 19:24
Display posts from previous: Sort by