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

 It is currently 21 Jan 2019, 22:23

### 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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.

# Which of the following is equivalent to (x+y)/3−(x−y)/4?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52348
Which of the following is equivalent to (x+y)/3−(x−y)/4?  [#permalink]

### Show Tags

06 Apr 2018, 08:12
00:00

Difficulty:

25% (medium)

Question Stats:

82% (00:47) correct 18% (00:42) wrong based on 46 sessions

### HideShow timer Statistics

Which of the following is equivalent to $$\frac{x+y}{3}−\frac{x−y}{4}$$?

A. $$\frac{x+y}{12}$$

B. $$\frac{7x+y}{12}$$

C. $$\frac{7x−y}{12}$$

D. $$\frac{7y+x}{12}$$

E. $$\frac{7y−x}{12}$$

_________________
Director
Joined: 31 Oct 2013
Posts: 977
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Which of the following is equivalent to (x+y)/3−(x−y)/4?  [#permalink]

### Show Tags

06 Apr 2018, 08:19
Bunuel wrote:
Which of the following is equivalent to $$\frac{x+y}{3}−\frac{x−y}{4}$$?

A. $$\frac{x+y}{12}$$

B. $$\frac{7x+y}{12}$$

C. $$\frac{7x−y}{12}$$

D. $$\frac{7y+x}{12}$$

E. $$\frac{7y−x}{12}$$

we are given : (x+y)/3 - (x-y)/4 *** LCM of 3 and 4 is 12.

={4(x+y) - 3(x-y) }/ 12
=(4x+4y-3x+3y) / 12
= x+ 7y / 12

So, the correct answer is D.
Senior SC Moderator
Joined: 22 May 2016
Posts: 2359
Which of the following is equivalent to (x+y)/3−(x−y)/4?  [#permalink]

### Show Tags

06 Apr 2018, 19:05
Bunuel wrote:
Which of the following is equivalent to $$\frac{x+y}{3}−\frac{x−y}{4}$$?

A. $$\frac{x+y}{12}$$

B. $$\frac{7x+y}{12}$$

C. $$\frac{7x−y}{12}$$

D. $$\frac{7y+x}{12}$$

E. $$\frac{7y−x}{12}$$

$$\frac{x+y}{3}−\frac{x−y}{4}$$=

$$(\frac{x+y}{3}*\frac{4}{4}) −(\frac{x−y}{4}*\frac{3}{3})$$

$$\frac{4(x+y)}{3*4} −\frac{3(x−y)}{4*3}=$$

$$(\frac{4x+4y}{12})-(\frac{3x-3y}{12})=$$

(Change the sign of terms being subtracted!)

$$\frac{4x+4y-3x+3y}{12}=$$

=$$\frac{x + 7y}{12}$$

_________________

Life’s like a movie. Write your own ending.

Kermit the Frog

Which of the following is equivalent to (x+y)/3−(x−y)/4? &nbs [#permalink] 06 Apr 2018, 19:05
Display posts from previous: Sort by

# Which of the following is equivalent to (x+y)/3−(x−y)/4?

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.