The sum of seven consecutive positive integers is 77. The largest of these integers is
(A) 8
(B) 11
(C) 14
(D) 15
(E) 17
Solution

Since the sum of the seven integers is 77 , their average is $\frac{77}{7}=11$.

Because there is an odd number of consecutive integers, 11 is the middle integer and 14 is the largest.

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