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

 It is currently 20 Oct 2019, 22:36

### 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

# The denominator of a fraction is 5 greater than the numerator. If the

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58443
The denominator of a fraction is 5 greater than the numerator. If the  [#permalink]

### Show Tags

31 Jan 2016, 08:06
2
1
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:12) correct 20% (01:39) wrong based on 81 sessions

### HideShow timer Statistics

The denominator of a fraction is 5 greater than the numerator. If the numerator and the denominator are increased by 2, the resulting fraction is equal to 7⁄12. What is the value of the original fraction?

A. 5⁄12
B. 1⁄2
C. 9⁄14
D. 2⁄3
E. 12⁄17

_________________
Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2402
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
Re: The denominator of a fraction is 5 greater than the numerator. If the  [#permalink]

### Show Tags

31 Jan 2016, 12:55
1
1
Let the original fraction be x/(x+5)
If the numerator and the denominator are increased by 2, the resulting fraction is equal to 7⁄12.
(x+2)/(x+7) = 7/12
=> 12x + 24 = 7x + 49
=> 5x = 25
=> x =5
Original fraction = 5/10 = 1/2
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15294
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: The denominator of a fraction is 5 greater than the numerator. If the  [#permalink]

### Show Tags

02 Feb 2016, 23:42
Hi All,

This math behind this question can be dealt with in a couple of ways. Depending on how the answer choices appear, the actual amount of work involved can be quite minimal though.

We're told that the denominator of a fraction is 5 greater than the numerator and that when the numerator AND the denominator are increased by 2, the resulting fraction is equal to 7⁄12. We're asked for the value of the original fraction.

Let's work backwards from the last piece of information: increasing the numerator and denominator by 2 gives us a fraction that equals 7/12. Since that fraction MIGHT be reduced, we could end up having to 'check' several iterations (7/12, 14/24, 21/36, etc.)

If we start with 7/12 and SUBTRACT 2 from both the numerator and the denominator, we end up with (7-2)/(12-2) = 5/10 = 1/2. Since that answer appears among the 5 choices, we're done.

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: The denominator of a fraction is 5 greater than the numerator. If the  [#permalink]

### Show Tags

03 Feb 2016, 01:28
Bunuel wrote:
The denominator of a fraction is 5 greater than the numerator. If the numerator and the denominator are increased by 2, the resulting fraction is equal to 7⁄12. What is the value of the original fraction?

A. 5⁄12
B. 1⁄2
C. 9⁄14
D. 2⁄3
E. 12⁄17

Let, Fraction = a / (a+5)

New Fraction i.e. (a+2) / (a+5+2) = 7/12

i.e. (a+2) / (a+7) = 7/12

12a + 24 = 7a + 49
i.e. a = 5

Original Fraction = 5/(5+5) = 5/10 = 1/2

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4774
Location: India
GPA: 3.5
Re: The denominator of a fraction is 5 greater than the numerator. If the  [#permalink]

### Show Tags

27 Aug 2018, 07:40
Bunuel wrote:
The denominator of a fraction is 5 greater than the numerator. If the numerator and the denominator are increased by 2, the resulting fraction is equal to 7⁄12. What is the value of the original fraction?

A. 5⁄12
B. 1⁄2
C. 9⁄14
D. 2⁄3
E. 12⁄17

$$\frac{n}{n + 5}$$

If the numerator and the denominator are increased by 2 then we have -

$$\frac{n + 2}{n + 5 + 2} = \frac{7}{12}$$

Or, $$\frac{n + 2}{n + 7} = \frac{7}{12}$$

So, $$n = 5$$

Hence the original fraction must be $$\frac{5}{5 + 5} = \frac{5}{10} = \frac{1}{2}$$, Answer must be (B)

_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Re: The denominator of a fraction is 5 greater than the numerator. If the   [#permalink] 27 Aug 2018, 07:40
Display posts from previous: Sort by