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The average of five consecutive natural number is 15. What is the sum of the first and last numbers
Question

The average of five consecutive natural number is 15. What is the sum of the first and last numbers

A.

27

B.

30

C.

31

D.

33

Correct option is B

Let 5 consecutive natural numbers are:
x, x+1, x+2, x+3, x+4
sum of 5 consecutive natural numbers = 75
or, x + x+1+x+2+x+3+x+4 = 75
or, 5x + 10 = 75
or, 5x = 75-10
or, x = 65/5
x = 13
so, the 5 consecutive numbers are:
13, 14, 15, 16, 17
Hence required sum = 13 + 17 = 30

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