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### Question

A, B and C are three numbers. The average of A, B and C is 29. The average of A and B is 16, and the average of B and C is 69, what is the value of number B?

**A**

83.

**B**

84.

**C**

82.

**D**

81.

**Soln.**

**Ans: a**

By the given conditions, A + B = 2 × 16 = 32. Similarly, B + C = 2 × 69 = 138. Adding we get A + 2B + C = 170. We have also been given that A + B + C = 3 × 29 = 87. Subtracting, we get B = 170 - 87 = 83.