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If the mean of five consecutive integers is 30, find the ...

If the mean of five consecutive integers is 30, find the largest of the numbers

A.

28

B.

30

C.

32

D.

34

Correct answer is C

Let the consecutive numbers be a, a+1, a+2, a+3, a+4
Mean = \frac{(a+a+1+a+2+a+3+a+4)}{5}\\ 30 = \frac{5a+10}{5}\\ 30 \times 5 = 5a + 10\\ 5a = 150 - 10\\ 5a = 140\\ a = 28 \\ ∴ a + 4 = 28 + 4\\ = 32