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# The ratio of the sum of the reciprocals of x and y to the product of

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Math Expert
Joined: 02 Sep 2009
Posts: 58401
The ratio of the sum of the reciprocals of x and y to the product of  [#permalink]

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10 Apr 2019, 00:25
00:00

Difficulty:

25% (medium)

Question Stats:

73% (01:07) correct 27% (01:36) wrong based on 21 sessions

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The ratio of the sum of the reciprocals of x and y to the product of the reciprocals of x and y is 1 : 3. What is sum of the numbers x and y?

(A) 1/3
(B) 1/2
(C) 1
(D) 2
(E) 4

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Joined: 31 Oct 2013
Posts: 1464
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The ratio of the sum of the reciprocals of x and y to the product of  [#permalink]

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10 Apr 2019, 00:30
Bunuel wrote:
The ratio of the sum of the reciprocals of x and y to the product of the reciprocals of x and y is 1 : 3. What is sum of the numbers x and y?

(A) 1/3
(B) 1/2
(C) 1
(D) 2
(E) 4

1/x + 1/y : 1/x*1/y = 1:3

x + y / xy : 1/xy = 1:3

x + y / xy * xy = 1:3

x + y = 1/3.

Re: The ratio of the sum of the reciprocals of x and y to the product of   [#permalink] 10 Apr 2019, 00:30
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