# Difference between revisions of "2015 AIME I Problems/Problem 8"

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For positive integer <math>n</math>, let <math>s(n)</math> denote the sum of the digits of <math>n</math>. Find the smallest positive integer satisfying <math>s(n) = s(n+864) = 20</math>. | For positive integer <math>n</math>, let <math>s(n)</math> denote the sum of the digits of <math>n</math>. Find the smallest positive integer satisfying <math>s(n) = s(n+864) = 20</math>. | ||

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## Revision as of 11:41, 20 March 2015

## Problem

For positive integer , let denote the sum of the digits of . Find the smallest positive integer satisfying .