the difference of the squares of two consecutive odd integers is 24. find the integers

can you solve this problem please 

two consecutive odd integers: n, n + 2
 
(n + 2)2 - n2 = 24
 
can you solve for n and answer?

consecutive odd integers are separated by 2, so if n is one of them and n + 2 is the other,
 
(n + 2)2 - n2 = 24
 
(n2 + 4n + 4) - n2 = 24
 
4n = 20
 
n = 5
n + 2 = 7
 
test the answer.
 
 

"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.