Every odd number can be written in a form 2k +1, where k is integer.

Thus for the two consecutive positive odd integers we can write: 2k - 1 and 2k + 1

the sum of these two numbers is 9 that is

2k - 1 + 2k + 1 = 9

4k = 9

k = 9/4

k = 2.25

since k needs to be integer there are no such two consecutive odd integers.