Jeff Miller

GMAT OFFICIAL GUIDE DS – What is the average…

What is the average…

Solution:

We need to determine the average of j and k. Thus, we must determine the value of (j+k)/2.

Statement One Alone: 

The average (arithmetic mean) of j + 2 and k + 4 is 11.

From the information in statement one we can create the following equation:

[(j + 2) + (k + 4)]/2 = 11

j + 2 + k + 4 = 22

j + k + 6 = 22

j + k = 16

Since j + k = 16, (j + k)/2 = 8

Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and E.

Statement Two Alone: 

The average (arithmetic mean) of j, k, and 14 is 10.

From the information in statement two we can create the following equation:

(j + k + 14)/3 = 10

j + k + 14 = 30

j + k = 16

Since j + k =16, (j + k)/2 = 8

Statement two is sufficient to answer the question.

Answer: D

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