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

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3307
Location: India
GPA: 3.12
If 2/x + 3/y = 4 and xy = 5, then 3x + 2y =  [#permalink]

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30 Oct 2018, 02:12
00:00

Difficulty:

5% (low)

Question Stats:

97% (00:37) correct 3% (02:21) wrong based on 33 sessions

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If $$\frac{2}{x} + \frac{3}{y} = 4$$ and $$xy = 5$$, then $$3x + 2y =$$

(A) $$\frac{1}{5}$$

(B) $$\frac{1}{4}$$

(C) $$\frac{4}{5}$$

(D) $$4$$

(E) $$20$$

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Joined: 24 Dec 2017
Posts: 184
Location: India
Concentration: Strategy, Real Estate
Schools: Johnson '21
Re: If 2/x + 3/y = 4 and xy = 5, then 3x + 2y =  [#permalink]

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30 Oct 2018, 02:20
2/x + 3/y = 4 & xy = 5

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

IMO E
Re: If 2/x + 3/y = 4 and xy = 5, then 3x + 2y =   [#permalink] 30 Oct 2018, 02:20
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