Discussion of Question with ID = 052 under Averages

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Question

Two of the 32 numbers are 32 and 42, If these two are excluded the average of the remaining 30 numbers is 1 less than the average of all the 32 numbers. What is the average of all the 32 numbers?

A

22.

B

23.

C

21.

D

24.

Soln.
Ans: a

Let the required average be x. Then $32x - (32 + 42) = 30 × (x - 1).$ which gives $32x - 74 = 30 × (x - 1).$ Solving for x we get x = 22.


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