Average of Five consecutive odd numbers are 17 and average of Five consecutive even number is 16. Find the average of largest odd number and smallest even number?

Correct option is D

Let five consecutives odd numbers are a, a + 2, a + 4, a + 6 and a + 8
let five consecutives even numbers are b, b + 2, b + 4, b + 6 and b + 8
ATQ,
a+ a + 2 + a + 4 + a + 6 + a + 8 = 17× 5
5a + 20 = 85
a = 13
b + b + 2 + b + 4 + b + 6 + b + 8 = 80
5b + 20 = 80
b = 12
Required average = [21+12]/2=16.5