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

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New post 29 Aug 2004, 15:01
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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
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New post 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
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New post 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
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New post 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.
  [#permalink] 30 Aug 2004, 09:21
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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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