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Last Updated on May 9, 2023
GMAT OFFICIAL GUIDE DS
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 = 11j + 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
