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

 It is currently 24 Mar 2019, 00:03

### 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

# A certain fraction is equivalent to 2/5. If the numerator of

Author Message
TAGS:

### Hide Tags

Manager
Joined: 10 Feb 2011
Posts: 107
A certain fraction is equivalent to 2/5. If the numerator of  [#permalink]

### Show Tags

15 Mar 2011, 15:54
3
3
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:53) correct 17% (02:47) wrong based on 134 sessions

### HideShow timer Statistics

A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/3. What is the sum of the numerator and denominator of the original fraction?

(A) 49
(B) 35
(C) 28
(D) 26
(E) 21
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9007
Location: Pune, India
Re: A certain fraction is equivalent to 2/5. If the numerator of  [#permalink]

### Show Tags

15 Mar 2011, 19:28
5
1
Even though there is nothing wrong with what you have done, try and use as few variables as possible. It reduces confusion and the number of steps required.
Since the fraction is equal to 2/5, lets say it is 2x/5x (x is the common integer that gets canceled to give 2/5)
$$\frac{(2x+4)}{2*5x} = \frac{1}{3}$$
x = 3
The original fraction is 2*3/5*3 = 6/15
Sum of numerator and denominator is 6+15 = 21
_________________

Karishma
Veritas Prep GMAT Instructor

##### General Discussion
Intern
Joined: 06 Feb 2011
Posts: 5
Re: A certain fraction is equivalent to 2/5. If the numerator of  [#permalink]

### Show Tags

15 Mar 2011, 19:03
(1) x/y = 2/5
(2) (x+4)/2y = 1/3

(1) 5x = 2y
(2) (x+4)/(2*((5/2)*x)) = 1/3
(2) (x+4)/5x = 1/3
(2) 3x+12 = 5x
(2) 12 = 2x
from (2) x = 6
substitute into y to get y = (5/2)*6 = 15

we're looking for x + y = 6 + 15 = 21

(E) 21
Retired Moderator
Joined: 16 Nov 2010
Posts: 1402
Location: United States (IN)
Concentration: Strategy, Technology
Re: A certain fraction is equivalent to 2/5. If the numerator of  [#permalink]

### Show Tags

15 Mar 2011, 21:30
x/y = 2/5 -> 1

(x+4)/2y = 1/3 -> 2

Divide 1 by 2 :

=> 2x/(x+4) = 6/5

=> 5x = 3x + 12

=> x = 6

=> y = 5/2 * 6 = 15

so x + y = 21

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1817
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A certain fraction is equivalent to 2/5. If the numerator of  [#permalink]

### Show Tags

26 Jun 2014, 01:22
1
1
Say the fraction $$= \frac{2x}{5x}$$

We require to find 5x + 2x = 7x

$$\frac{2x+4}{10x} = \frac{1}{3}$$

x = 3

7x = 21

_________________

Kindly press "+1 Kudos" to appreciate

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2825
Re: A certain fraction is equivalent to 2/5. If the numerator of  [#permalink]

### Show Tags

20 Jul 2017, 16:31
banksy wrote:
A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/3. What is the sum of the numerator and denominator of the original fraction?

(A) 49
(B) 35
(C) 28
(D) 26
(E) 21

We can create the following equations in which the numerator = 2x and the denominator = 5x.

(2x + 4)/10x = 1/3

3(2x + 4) = 10x

6x + 12 = 10x

12 = 4x

x = 3

Since x = 3, the original numerator = 2(3) = 6 and the original denominator = 5(3) = 15. Thus, their sum is 6 + 15 = 21.

_________________

# Jeffrey Miller

Jeff@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

Non-Human User
Joined: 09 Sep 2013
Posts: 10192
Re: A certain fraction is equivalent to 2/5. If the numerator of  [#permalink]

### Show Tags

26 Feb 2019, 22:50
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 certain fraction is equivalent to 2/5. If the numerator of   [#permalink] 26 Feb 2019, 22:50
Display posts from previous: Sort by