Discussion of Question with ID = 008 under Averages

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Question

Two of the 26 numbers are 22 and 50, If these two are excluded the average of the remaining 24 numbers is 1 less than the average of all the 26 numbers. What is the average of all the 26 numbers?

A

24.

B

25.

C

23.

D

26.

Soln.
Ans: a

Let the required average be x. Then $26x - (22 + 50) = 24 × (x - 1).$ which gives $26x - 72 = 24 × (x - 1).$ Solving for x we get x = 24.


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