AMC 8 2007 Problem 19

Pick two consecutive positive integers whose sum is less than $100$. Square both of those integers and then find the difference of the squares. Which of the following could be the difference? $\mathrm{(A)}\ 2 \mathrm{(B)}\ 64 \mathrm{(C)}\ 79 \mathrm{(D)}\ 96 \mathrm{(E)}\ 131$