Which two consecutive odd integers have a sum of 44?

The two consecutive odd integers that have a sum of 44 are 21 and 23.

To find these integers, we can use the following method:

1. Divide the sum by 2: 44 / 2 = 22. This gives us the average of the two numbers.
2. Since we need consecutive odd integers, one number will be one less than 22, and the other will be one more than 22.
3. Therefore, the two numbers are 22 - 1 = 21 and 22 + 1 = 23.
4. Check: 21 + 23 = 44.

Thus, the solution is 21 and 23.