Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 20 Jul 2019, 04:46

### 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

# What is the difference between the number of chocolates with Alice and

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 22 Aug 2013
Posts: 1435
Location: India
What is the difference between the number of chocolates with Alice and  [#permalink]

### Show Tags

19 Jul 2018, 11:22
2
00:00

Difficulty:

55% (hard)

Question Stats:

62% (02:40) correct 38% (02:24) wrong based on 39 sessions

### HideShow timer Statistics

What is the difference between the number of chocolates with Alice and Bob, if each of them has at least one chocolate and Alice has 25% more chocolates than Bob?

(1) Together Alice and Bob have less than 30 but more than 20 chocolates.

(2) Difference between the squares of number of chocolates with Alice and Bob is 27 times the difference between the number of chocolates with Alice and Bob.
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: What is the difference between the number of chocolates with Alice and  [#permalink]

### Show Tags

19 Jul 2018, 19:32
1
What is the difference between the number of chocolates with Alice and Bob, if each of them has at least one chocolate and Alice has 25% more chocolates than Bob?

A=1.25B=5B/4

(1) Together Alice and Bob have less than 30 but more than 20 chocolates.
So 20<A+B<30........20<B+5B/4<30........20<9B/4<30.........
Since B is an integer, Only possibility of 9B/4 is 27....B=27*4/9=12
A = 1.25*12=15
Difference=15-12=3
Sufficient

(2) Difference between the squares of number of chocolates with Alice and Bob is 27 times the difference between the number of chocolates with Alice and Bob.
Straight way a+B=27
$$a^2-b^2=27(a-b)..................(a-b)(a+b)=27(a-b).....................(a+b)=27$$
We know total is 9B/4=27.....B=12
Sufficient

D
_________________
Re: What is the difference between the number of chocolates with Alice and   [#permalink] 19 Jul 2018, 19:32
Display posts from previous: Sort by