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(k – w) + (k – x) + (k – y)

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by sanju09 » Wed Sep 15, 2010 9:28 pm
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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Source: — Data Sufficiency |

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by Rahul@gurome » Thu Sep 16, 2010 4:11 am
(1) w, x, and y are three consecutive odd numbers doesn't give any info about the variable k.
So, (1) is NOT SUFFICIENT.

(2) (w + x + y)/3 = k implies w + x + y = 3k
3k - w - x - y = 0
(k - w) + (k - x) + (k - y) = 0
So, (2) is SUFFICIENT.

The correct answer is [spoiler](B)[/spoiler].
Last edited by Rahul@gurome on Thu Sep 16, 2010 4:26 am, edited 1 time in total.
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by sanju09 » Thu Sep 16, 2010 4:23 am
Rahul@gurome wrote:(1) w, x, and y are three consecutive odd numbers does five any info about the variable k.
So, (1) is NOT SUFFICIENT.

(2) (w + x + y)/3 = k implies w + x + y = 3k
3k - w - x - y = 0
(k - w) + (k - x) + (k - y) = 0
So, (2) is SUFFICIENT.

The correct answer is [spoiler](B)[/spoiler].
excellent, but what does "does five" stand for in your explanation?
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by Rahul@gurome » Thu Sep 16, 2010 4:25 am
sanju09 wrote: excellent, but what does "does five" stand for in your explanation?
Sorry, that's a typo, it should have been "doesn't give any info", will edit the previous post to avoid any confusion.
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