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The average of three consecutive odd numbers is 43 . What is the average of smallest and largest of these numbers ?
Question

The average of three consecutive odd numbers is 43 . What is the average of smallest and largest of these numbers ?

A.

45

B.

41

C.

43

D.

47

Correct option is C

Given:
Average of three consecutive odd numbers = 43
Formula Used:
For numbers forming an Arithmetic Progression (AP), the average of all numbers equals the average of the first and the last numbers.
Solution:
Let the three consecutive odd numbers be x, x + 2, and x + 4.
Average = x+x+2+x+43=43 \frac{x + x + 2 + x + 4}{3} = 43​​
3x+63=43\frac{3x + 6}{3} = 43​​
x + 2 = 43
x = 41
The three numbers are 41, 43, and 45.
The smallest number is 41 and the largest number is 45.
Average of the smallest and largest = 41+452=862\frac{41 + 45}{2} = \frac{86}{2}​ = 43
Final Answer
So the correct answer is (c)

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