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Re: What is the value of (k – w ) + (k – x ) + (k – y )?
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28 Aug 2018, 14:15

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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