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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, 12:27
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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.

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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, 12:38
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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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Let x/y + w/y = 2. Then the value of y/x + z/w is  [#permalink]

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New post Updated on: 20 Jul 2018, 22:49
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.

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

Originally posted by Xin Cho on 20 Jul 2018, 12:20.
Last edited by Xin Cho on 20 Jul 2018, 22:49, edited 1 time in total.
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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, 17:20
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, 20:31
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 20 Jul 2018, 23:00
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 20 Jul 2018, 23:14
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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/z = 2. Then the value of y/x + z/w is  [#permalink]

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New post 20 Jul 2018, 23:35
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. 1
D. 5
E. It cannot be determined from the information given.

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


Merging topics. Please search before posting.
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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Let x/y + w/z = 2. Then the value of y/x + z/w is &nbs [#permalink] 20 Jul 2018, 23:35
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