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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.