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jmc

algebra junior

Problem

Four numbers are written in a row. The average of the first two is the average of the middle two is and the average of the last two is What is the average of the first and last of the numbers?
(A)
(B)
(C)
(D)
Solution
Note that the sum of the first two numbers is the sum of the middle two numbers is and the sum of the last two numbers is It follows that the sum of the four numbers is so the sum of the first and last numbers is Therefore, the average of the first and last numbers is
Final answer
B