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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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==Solution==

Revision as of 12:41, 20 March 2015

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

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