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# What is the value of (k – w ) + (k – x ) + (k – y )?

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Math Expert
Joined: 02 Sep 2009
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What is the value of (k – w ) + (k – x ) + (k – y )?  [#permalink]

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21 Jan 2018, 02:19
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Difficulty:

45% (medium)

Question Stats:

64% (01:23) correct 36% (01:40) wrong based on 108 sessions

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What is the value of (k – w ) + (k – x ) + (k – y )?

(1) w, x, and y are three consecutive odd numbers
(2) The mean of w, x, and y is k

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What is the value of (k – w ) + (k – x ) + (k – y )?  [#permalink]

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21 Jan 2018, 02:26
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Bunuel wrote:
What is the value of (k – w ) + (k – x ) + (k – y )?

(1) w, x, and y are three consecutive odd numbers
(2) The mean of w, x, and y is k

$$k-w+k-x+k-y=3k-(w+x+y)$$

Statement 1: nothing mentioned about $$k$$. Insufficient

Statement 2: implies $$w+x+y=3k$$. Hence our stem equation will be $$3k-3k=0$$. Sufficient

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Re: What is the value of (k – w ) + (k – x ) + (k – y )?  [#permalink]

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21 Jan 2018, 02:28
Bunuel wrote:
What is the value of (k – w ) + (k – x ) + (k – y )?

(1) w, x, and y are three consecutive odd numbers
(2) The mean of w, x, and y is k

Modify the Que as 3k-(w+x+y)

1) w, x, and y are three consecutive odd numbers
We don't know the value of k, hence not suff

2) The mean of w, x, and y is k

w+x+y/3=k

It means w+x+y =3k hence gives ans as 0

Hence Suff

B
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Re: What is the value of (k – w ) + (k – x ) + (k – y )?  [#permalink]

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28 Aug 2018, 13:15
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Bunuel wrote:
What is the value of (k – w ) + (k – x ) + (k – y )?

(1) w, x, and y are three consecutive odd numbers
(2) The mean of w, x, and y is k

Target question: What is the value of (k – w ) + (k – x ) + (k – y )?
This is a good candidate for rephrasing the target question.

Take: (k – w ) + (k – x ) + (k – y )
Simplify to get: 3k – w – x – y
Rewrite as: 3k – (w + x + y)

REPHRASED target question: What is the value of 3k – (w + x + y) ?

Aside: The video below has tips on rephrasing the target question

Statement 1: w, x, and y are three consecutive odd numbers
Since we have no information about k, there's no way to determine the value of 3k – (w + x + y)
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The mean of w, x, and y is k
This tells us that (w + x + y)/3 = k
Multiply both sides by 3 to get: w + x + y = 3k
If w + x + y = 3k, then 3k – (w + x + y) = 3k – (3k) = 0
Perfect, the answer to the REPHRASED target question is 0
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

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Re: What is the value of (k – w ) + (k – x ) + (k – y )? &nbs [#permalink] 28 Aug 2018, 13:15
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