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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:

49% (00:46) correct 51% (01:37) wrong based on 35 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
[Reveal] Spoiler: OA

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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
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

Option B
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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] 21 Jan 2018, 02:28
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