#### Answer

The numbers are 35 and 37.

#### Work Step by Step

Let n represent the first number; then, n + 2 represents the next odd number. Because their sum is 72, we can set up and solve the following equation:
n + n + 2 = 72
2n + 2 = 72
Subtract 2 from both sides
2n = 70
n = 35
If n = 35, then n + 2 = 37
So, the numbers are 35 and 37