Consecutive odd integers are separated by 2. The 3 consecutive odd integers are
n
n + 2
(n + 2) + 2 = n + 4
Given:
n + (n + 2) + (n + 4) = 51
3n + 6 = 51
n = (51 - 6)/3 = 15
n + 2 = 15 + 2 = 17
n + 4 = 15 + 4 = 19
so your final numbers are 15, 17, and 19