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The product of two numbers x and y is twice the sum of the n
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02 Apr 2019, 09:36
02 Apr 2019, 09:36
Expert Reply
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Question Stats:
88% (01:32) correct
11% (01:08) wrong based on 17 sessions
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The product of two numbers x and y is twice the sum of the numbers. What is the sum of the reciprocals of x and y ?
(A) \(\frac{1}{8}\)
(B) \(\frac{1}{4}\)
(C) \(\frac{1}{2}\)
(D) 2
(E) 4
(A) \(\frac{1}{8}\)
(B) \(\frac{1}{4}\)
(C) \(\frac{1}{2}\)
(D) 2
(E) 4
Re: The product of two numbers x and y is twice the sum of the n
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05 Jul 2020, 10:37
05 Jul 2020, 10:37
Solution:
Data given:
xy=2(x+y)...................(1)
They ask for the sum of reciprocals of x and y:
\(\frac{1}{x}+\frac{1}{y}\)
Solving:
\(\frac{(x+y)}{xy}\)
Using the equation (1)
\(\frac{1}{2}=\frac{(x+y)}{xy}\)
Answer: \(\frac{1}{2}\)
Option: C
Data given:
xy=2(x+y)...................(1)
They ask for the sum of reciprocals of x and y:
\(\frac{1}{x}+\frac{1}{y}\)
Solving:
\(\frac{(x+y)}{xy}\)
Using the equation (1)
\(\frac{1}{2}=\frac{(x+y)}{xy}\)
Answer: \(\frac{1}{2}\)
Option: C
gmatclubot
Re: The product of two numbers x and y is twice the sum of the n [#permalink]
05 Jul 2020, 10:37
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