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

 It is currently 23 Oct 2019, 14:09

### 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 set of three numbers,the difference between the largest and the

Author Message
TAGS:

### Hide Tags

Intern
Joined: 23 Sep 2015
Posts: 2
In a set of three numbers,the difference between the largest and the  [#permalink]

### Show Tags

26 Sep 2015, 12:03
2
2
00:00

Difficulty:

25% (medium)

Question Stats:

76% (02:12) correct 24% (02:03) wrong based on 87 sessions

### HideShow timer Statistics

In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 5.The largest number exceeds the second largest number by how much ?
A) 5
B) 10
C) 15
D) 30
E) 60
Manager
Joined: 29 Jul 2015
Posts: 155
In a set of three numbers,the difference between the largest and the  [#permalink]

### Show Tags

26 Sep 2015, 17:18
1
capsicumgirl wrote:
In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 5.The largest number exceeds the second largest number by how much ?
A) 5
B) 10
C) 15
D) 30
E) 60

Let A,B and C be the three numbers where A<B<C
It is given that the difference between the largest and the second largest numbers is added to the smallest number i.e A+(C-B)
The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 5.

or $$\frac{B+C+A+(C-B)}{3}=\frac{A+B+C}{3}+5$$

or $$\frac{A+2C}{3}=\frac{A+B+C+15}{3}$$

or $$A+2C=A+B+C+15$$
or $$C=B+15$$
So, largest number exceeds the second largest number by 15

Manager
Joined: 17 Jun 2015
Posts: 195
GMAT 1: 540 Q39 V26
GMAT 2: 680 Q46 V37
Re: In a set of three numbers,the difference between the largest and the  [#permalink]

### Show Tags

26 Sep 2015, 23:44
Answer is 15. Apart from the usual calculation part, is there any Avergages concept that could be used here to save time on calculations
_________________
Fais de ta vie un rêve et d'un rêve une réalité
Math Expert
Joined: 02 Aug 2009
Posts: 8023
In a set of three numbers,the difference between the largest and the  [#permalink]

### Show Tags

27 Sep 2015, 00:28
2
hdwnkr wrote:
Answer is 15. Apart from the usual calculation part, is there any Avergages concept that could be used here to save time on calculations

Hi,
Let the numbers in increasing order be A<B<C...
since the new number(N) increase the average of new set of numbers by 5 after replacing the smallest number,A,
the new number,N, exceeds the smallest,A, by 3*5=15 or N=15+A..(1)
and what is the new number,N,---- C-B (diff in the largest and second largest)+A...(2)...
from (1) & (2) C-B=15... required answer
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 13421
Re: In a set of three numbers,the difference between the largest and the  [#permalink]

### Show Tags

09 Mar 2019, 23:51
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: In a set of three numbers,the difference between the largest and the   [#permalink] 09 Mar 2019, 23:51
Display posts from previous: Sort by