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

 It is currently 23 Jul 2018, 02:58

### 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

# 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: 47205
Which of the following is equivalent to (x+y)/3−(x−y)/4?  [#permalink]

### Show Tags

06 Apr 2018, 09:12
00:00

Difficulty:

25% (medium)

Question Stats:

77% (00:35) correct 23% (00:18) wrong based on 43 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. $$\frac{7y−x}{12}$$

_________________
Senior Manager
Joined: 31 Oct 2013
Posts: 381
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, 09:19
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.
SC Moderator
Joined: 22 May 2016
Posts: 1837
Which of the following is equivalent to (x+y)/3−(x−y)/4?  [#permalink]

### Show Tags

06 Apr 2018, 20:05
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!)

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

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

_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

Which of the following is equivalent to (x+y)/3−(x−y)/4? &nbs [#permalink] 06 Apr 2018, 20:05
Display posts from previous: Sort by

# Events & Promotions

 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®.