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The average of 7 consecutive numbers is N. The sum of smallest and highest of these numbers is?
Question


The average of 7 consecutive numbers is N. The sum of smallest and highest of these numbers is?

A.

2N

B.

3N

C.

N

D.

4N

E.

7N

Correct option is A


Let the seven consecutive numbers be a-3, a-2, a-1, a, a+1, a+2, a+3
ATQ, (a-3) +(a-2)+ (a-1)+ (a)+ (a+1)+ (a+2)+(a+3) = 7N
a = N
So, Required sum = (a-3) +(a+3) = 2a = 2N

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