"Consecutive" means that they follow each other, like 3 and 5 or 27 and 29.
An odd integer can be represented as 2k+1 where k is some integer. Based on that, how would you represent the "next" odd integer after 2k+1?
Once you have representations for both odd integers (2k+1 and...?), set up an equation for their difference of squares. That will allow you to find k. Then, you can find the original integers.