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Let x/y + w/z = 2. Then the value of y/x + z/w is

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Let x/y + w/z = 2. Then the value of y/x + z/w is  [#permalink]

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New post 01 Jun 2017, 13:27
3
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

80% (01:29) correct 20% (01:25) wrong based on 67 sessions

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Re: Let x/y + w/z = 2. Then the value of y/x + z/w is  [#permalink]

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New post 01 Jun 2017, 13:38
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Bunuel wrote:
Let \(\frac{x}{y} + \frac{w}{z} = 2\). Then the value of \(\frac{y}{x} + \frac{z}{w}\) is

(A) 1/2
(B) 3/4
(C) 1
(D) 5
(E) It cannot be determined from the information given.


A fast approach is to identify values for w, x, y and z that satisfy the given equation, \(\frac{x}{y} + \frac{w}{z} = 2\)
One set of values is w = 1, x = 1, y = 1 and z = 1

Now plug these values into the target expression.
We get: \(\frac{y}{x} + \frac{z}{w} = \frac{1}{1} + \frac{1}{1}\)

\(= 1 + 1\)

\(= 2\)

Since 2 is not among the first four answer choices, the correct answer must be ....

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Re: Let x/y + w/y = 2. Then the value of y/x + z/w is  [#permalink]

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New post 20 Jul 2018, 18:20
Xin Cho wrote:
Let \(\frac{x}{y}\) + \(\frac{w}{z}\) = 2. Then the value of \(\frac{y}{x}\) + \(\frac{z}{w}\) is

A. 1/2
B. 3/4
C. 1z
D. 5
E. It cannot be determined from the information given.

Source: Nova's GMAT Prep Course (Chapter - Equations)



\(\frac{x}{y}\) + \(\frac{w}{z}\) = 2
or \(\frac{xz +yw}{yz}\) = 2
or \({xz +yw}\) = 2yz

Now, \(\frac{y}{x}\) + \(\frac{z}{w}\)=\(\frac{yw+xz}{xw}\) = \(\frac{2yz}{xw}\)..... Thus cannot be determined with given info......Option E
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Re: Let x/y + w/y = 2. Then the value of y/x + z/w is  [#permalink]

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New post 20 Jul 2018, 21:31
Let \(\frac{x}{y} = a\) and \(\frac{w}{z} = b\)

=> a + b = 2

We need to find the value of \(\frac{1}{a} + \frac{1}{b}\) = \(\frac{a+b}{ab}\)

We know the value of a + b but we don't know the value of a*b

Hence option E
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Re: Let x/y + w/y = 2. Then the value of y/x + z/w is  [#permalink]

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New post 21 Jul 2018, 00:00
Is the answer not A.1/2 because \(\frac{x}{y}\) + \(\frac{w}{z}\) is not reciprocal of \(\frac{y}{x}\) + \(\frac{z}{w}\)?
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Re: Let x/y + w/y = 2. Then the value of y/x + z/w is  [#permalink]

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New post 21 Jul 2018, 00:14
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Xin Cho wrote:
Is the answer not A.1/2 because \(\frac{x}{y}\) + \(\frac{w}{z}\) is not reciprocal of \(\frac{y}{x}\) + \(\frac{z}{w}\)?


\(\frac{x}{y}\) + \(\frac{w}{z}\) is NOT reciprocal of \(\frac{y}{x}\) + \(\frac{z}{w}\)

\(\frac{x}{y}\) + \(\frac{w}{z}\) = \(\frac{xz+wy}{yz}\) ------- 1

\(\frac{y}{x}\) + \(\frac{z}{w}\) = \(\frac{wy+xz}{xw}\) -------- 2

1 and 2 are not reciprocal to each other.
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Re: Let x/y + w/y = 2. Then the value of y/x + z/w is   [#permalink] 21 Jul 2018, 00:14
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