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

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Manager
Joined: 26 Aug 2004
Posts: 52
if 2/x + 3/y=4 and xy=5, then 3x + 2y= A) 1/5 B) 1/4   [#permalink]

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29 Aug 2004, 15:01
1
00:00

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(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 5 sessions

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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.

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Senior Manager
Joined: 25 Jul 2004
Posts: 258

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29 Aug 2004, 20:17
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: 4627
Location: Singapore

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29 Aug 2004, 22:23
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: 454

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30 Aug 2004, 09:21
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.

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This discussion does not meet community quality standards. It has been retired.

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Non-Human User
Joined: 09 Sep 2013
Posts: 11017
Re: if 2/x + 3/y=4 and xy=5, then 3x + 2y= A) 1/5 B) 1/4   [#permalink]

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10 Apr 2019, 08:57
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Re: if 2/x + 3/y=4 and xy=5, then 3x + 2y= A) 1/5 B) 1/4   [#permalink] 10 Apr 2019, 08:57
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