Question

the average of five consecutive odd numbers is 59.What are the five odd numbers?

Answer 1

55,57,59,61,63  are the consecutive odd numbers whose average is 59

Answer 2

Let us assume, five consecutive odd numbers are 2n - 3, 2n - 1, 2n + 1, 2n + 3, 2n + 5 for any postive integer n

Given: The average = (2n-3 + 2n - 1 + 2n + 1 + 2n + 3 + 2n + 5) / 5 = 59

Therefore, 10n + 5 = 59 * 5

10n = 295 - 5
10n = 290
n = 290/10 = 29

Therefore, the five consecutive odd numbers are 
2n - 3 = 2 * 29 - 3 = 55
Thus, the odd numbers are 55, 57, 59, 61 and 63