2019 Pascal Problem 13

The list p, q, r,\ \text{s} consists of four consecutive integers listed in increasing order. If p + s = 109, the value of q + r is

\textbf{(A)}\ 108\quad \textbf{(B)}\ 109\quad \textbf{(C)}\ 110\quad \textbf{(D)}\ 117\quad \textbf{(E)}\ 111

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.