2006 Gauss 8 Problem 13

Last year, Kiril's age was a multiple of 7. This year, Kiril's age is a multiple of 5. In how many years will Kiril be 26 years old?

\textbf{(A)}\ 11\quad \textbf{(B)}\ 21\quad \textbf{(C)}\ 4\quad \textbf{(D)}\ 18\quad \textbf{(E)}\ 16

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 Gauss contests here.