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2016 AMC 10B Problems/Problem 6

Revision as of 09:26, 21 February 2016 by Mathlogin (talk | contribs) (Created page with "==Problem== Laura added two three-digit positive integers. All six digits in these numbers are different. Laura's sum is a three-digit number <math>S</math>. What is the smal...")
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Problem

Laura added two three-digit positive integers. All six digits in these numbers are different. Laura's sum is a three-digit number $S$. What is the smallest possible value for the sum of the digits of $S$?

$\textbf{(A)}\ 1\qquad\textbf{(B)}\ 4\qquad\textbf{(C)}\ 5\qquad\textbf{(D)}\ 15\qquad\textbf{(E)}\ 20$

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