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# If xy≠0 and (3y + x)/2 = x, what is x/y?

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Math Expert
Joined: 02 Sep 2009
Posts: 50002
If xy≠0 and (3y + x)/2 = x, what is x/y?  [#permalink]

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15 Feb 2017, 03:23
00:00

Difficulty:

15% (low)

Question Stats:

88% (00:35) correct 12% (00:47) wrong based on 38 sessions

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If xy≠0 and (3y + x)/2 = x, what is x/y?

A. 1/3
B. 2/3
C. 3/2
D. 2
E. 3

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Manager
Joined: 13 Apr 2010
Posts: 89
Re: If xy≠0 and (3y + x)/2 = x, what is x/y?  [#permalink]

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15 Feb 2017, 03:45
Bunuel wrote:
If xy≠0 and (3y + x)/2 = x, what is x/y?

A. 1/3
B. 2/3
C. 3/2
D. 2
E. 3

(3y + x)/2 = x
3y + x = 2x
3y = x
x/y = 3/1

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If xy≠0 and (3y + x)/2 = x, what is x/y?  [#permalink]

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15 Feb 2017, 05:02
Bunuel wrote:
If xy≠0 and (3y + x)/2 = x, what is x/y?

A. 1/3
B. 2/3
C. 3/2
D. 2
E. 3

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

Hence Option E is correct
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Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If xy≠0 and (3y + x)/2 = x, what is x/y?  [#permalink]

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16 Feb 2017, 12:20
Bunuel wrote:
If xy≠0 and (3y + x)/2 = x, what is x/y?

A. 1/3
B. 2/3
C. 3/2
D. 2
E. 3

Let’s simplify the given equation:

(3y + x)/2 = x

3y + x = 2x

3y = x

3 = x/y

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Re: If xy≠0 and (3y + x)/2 = x, what is x/y? &nbs [#permalink] 16 Feb 2017, 12:20
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