2001 AMC 10 Problems/Problem 6: Difference between revisions

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-== Problem ==
-Let <math> P(n) </math> and <math> S(n) </math> denote the product and the sum, respectively, of the digits of the integer <math> n </math>. For example, <math> P(23) = 6 </math> and <math> S(23) = 5 </math>. Suppose <math> N </math> is a two-digit number such that <math> N = P(N) + S(N) </math>. What is the units digit of <math> N </math>?
-<math> \textbf{(A) }2\qquad\textbf{(B) }3\qquad\textbf{(C) }6\qquad\textbf{(D) }8\qquad\textbf{(E) }9 </math>

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