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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: 55
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if 2/x + 3/y=4 and xy=5, then 3x + 2y= A) 1/5 B) 1/4  [#permalink]  29 Aug 2004, 14:01
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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.
Senior Manager
Joined: 25 Jul 2004
Posts: 274
Followers: 1

Kudos [?]: 7 [0], given: 0

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: 5078
Location: Singapore
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Kudos [?]: 184 [0], given: 0

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: 464
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Kudos [?]: 34 [0], given: 0

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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