Let P(n) and S(n) denote the product and the sum, respectively, of the digits of the integer n. For example, P(23) \equal{} 6 and S(23) \equal{} 5. Suppose N is a two-digit number such that N \equal{} P(N) \plus{} S(N). What is the units digit of N?
<spanclass=′latex−bold′>(A)</span>2<spanclass=′latex−bold′>(B)</span>3<spanclass=′latex−bold′>(C)</span>6<spanclass=′latex−bold′>(D)</span>8<spanclass=′latex−bold′>(E)</span>9