Answer:
33, 35, 37
Explanation:
Consecutive: in a row
Odd: any number not evenly divisible by 2
Integers: Whole numbers
Sum: the answer to an addition problem
So, 100 is close to 30*3, so start there and move on. It has to be a little more, so start at 31, 33, and 35, but it's only 99, so you need something a little more. Check 33, 35, and 37 to be sure, and you've got your answer!