if 2/x + 3/y=4 and xy=5, then 3x + 2y= A) 1/5 B) 1/4 : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 20:51

### 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 June
Open Detailed Calendar

# if 2/x + 3/y=4 and xy=5, then 3x + 2y= A) 1/5 B) 1/4

Author Message
Manager
Joined: 26 Aug 2004
Posts: 55
Followers: 1

Kudos [?]: 2 [0], given: 0

if 2/x + 3/y=4 and xy=5, then 3x + 2y= A) 1/5 B) 1/4  [#permalink]

### Show Tags

29 Aug 2004, 14:01
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

if 2/x + 3/y=4 and xy=5, then 3x + 2y=

A) 1/5

B) 1/4

C) 4/5

D) 4

E) 20

don't understand how to do this problem.
Senior Manager
Joined: 25 Jul 2004
Posts: 273
Followers: 1

Kudos [?]: 10 [0], given: 0

### Show Tags

29 Aug 2004, 19:17
Make the denominator the same so you can add the two

2y/xy + 3x/xy = (2y + 3x)/xy

(2y + 3x)/xy = 4
(2y + 3x)/5 = 4
2y + 3x) = 20

E
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5062
Location: Singapore
Followers: 30

Kudos [?]: 358 [0], given: 0

### Show Tags

29 Aug 2004, 21:23
Striaghtfoward. 2/x + 3/y = (2y+3x)/xy = 4
3x+2y = 4xy = 4*5 = 20

(E) is the anwer.
CIO
Joined: 09 Mar 2003
Posts: 463
Followers: 2

Kudos [?]: 58 [0], given: 0

### Show Tags

30 Aug 2004, 08:21
ditto all that.

Here's my "let's learn something from this" comment:

Whenever the GMAT asks for the value of several variables together, rather than a particular variable, it's likely that you'll find a way to solve for the group without having to solve for them individually.

In this example, they ask for 3x + 2y, not x and y individually. You can get their individual values if you want, you'd still get 20, but probably you don't have to. Notice that when we get the answer, we still have no idea what x and y are. That doesn't matter at all.

So this is the "red flag". Many variables in a single question usually points to a trick somehow.
30 Aug 2004, 08:21
Display posts from previous: Sort by