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# The sum of 2 numbers, x and y, equals twice their product. If x = 3

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
The sum of 2 numbers, x and y, equals twice their product. If x = 3  [#permalink]

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08 Mar 2019, 03:08
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Difficulty:

15% (low)

Question Stats:

86% (00:56) correct 14% (00:57) wrong based on 43 sessions

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The sum of 2 numbers, x and y, equals twice their product. If x = 3, what is the value of y?

A. 1/8
B. 3/5
C. 3/2
D. 5/3
E. 7/3

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Manager
Joined: 19 Mar 2018
Posts: 68
Location: India
Concentration: Operations, Strategy
GMAT 1: 600 Q42 V31
GPA: 4
WE: Operations (Energy and Utilities)
Re: The sum of 2 numbers, x and y, equals twice their product. If x = 3  [#permalink]

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08 Mar 2019, 03:50
Bunuel wrote:
The sum of 2 numbers, x and y, equals twice their product. If x = 3, what is the value of y?

A. 1/8
B. 3/5
C. 3/2
D. 5/3
E. 7/3

x+y=2xy

(x=3)
3+y=6y
3=5y
y=3/5
option B
VP
Joined: 31 Oct 2013
Posts: 1468
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The sum of 2 numbers, x and y, equals twice their product. If x = 3  [#permalink]

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08 Mar 2019, 05:02
Bunuel wrote:
The sum of 2 numbers, x and y, equals twice their product. If x = 3, what is the value of y?

A. 1/8
B. 3/5
C. 3/2
D. 5/3
E. 7/3

Given,

x + y = 2xy

3 + y = 2*3y

3 = 5y

y = 3/5.

Manager
Joined: 27 Mar 2016
Posts: 110
Re: The sum of 2 numbers, x and y, equals twice their product. If x = 3  [#permalink]

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08 Mar 2019, 07:57
y+3=6y
3=5y
y=3/5
B
Intern
Joined: 19 Apr 2017
Posts: 21
Location: Brazil
Concentration: Finance, Entrepreneurship
GPA: 3
Re: The sum of 2 numbers, x and y, equals twice their product. If x = 3  [#permalink]

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08 Mar 2019, 19:29
x+y = 2*x*y

But x = 3. Then,

3+y=6*y

3=5*y
y=3/5

Ans (B)
Intern
Joined: 04 Oct 2017
Posts: 1
Re: The sum of 2 numbers, x and y, equals twice their product. If x = 3  [#permalink]

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09 Mar 2019, 13:36
+ yy m
NRJ11090 wrote:
Bunuel wrote:
The sum of 2 numbers, x and y, equals twice their product. If x = 3, what is the value of y?

A. 1/8
B. 3/5
C. 3/2
D. 5/3
E. 7/3

x+y=2xy

(x=3)
3+y=6y
3=5y
y=3/5
option B

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Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8137
Location: United States (CA)
Re: The sum of 2 numbers, x and y, equals twice their product. If x = 3  [#permalink]

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11 Mar 2019, 08:08
Bunuel wrote:
The sum of 2 numbers, x and y, equals twice their product. If x = 3, what is the value of y?

A. 1/8
B. 3/5
C. 3/2
D. 5/3
E. 7/3

We can create the equation:

3 + y = 2(3y)

3 + y = 6y

3 = 5y

3/5 = y

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Re: The sum of 2 numbers, x and y, equals twice their product. If x = 3   [#permalink] 11 Mar 2019, 08:08
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