2015 AIME I Problems/Problem 8

Revision as of 12:41, 20 March 2015 by Pieater314159 (talk | contribs) (Problem)

Problem

For positive integer $n$, let $s(n)$ denote the sum of the digits of $n$. Find the smallest positive integer satisfying $s(n) = s(n+864) = 20$.

Solution