Difference between revisions of "2013 AMC 10B Problems/Problem 18"
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| + | ==Problem== | ||
The number <math>2013</math> has the property that its units digit is the sum of its other digits, that is <math>2+0+1=3</math>. How many integers less than <math>2013</math> but greater than <math>1000</math> share this property? | The number <math>2013</math> has the property that its units digit is the sum of its other digits, that is <math>2+0+1=3</math>. How many integers less than <math>2013</math> but greater than <math>1000</math> share this property? | ||
<math> \textbf{(A)}\ 33\qquad\textbf{(B)}\ 34\qquad\textbf{(C)}\ 45\qquad\textbf{(D)}\ 46\qquad\textbf{(E)}\ 58 </math> | <math> \textbf{(A)}\ 33\qquad\textbf{(B)}\ 34\qquad\textbf{(C)}\ 45\qquad\textbf{(D)}\ 46\qquad\textbf{(E)}\ 58 </math> | ||
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| + | ==Solution== | ||
Revision as of 19:04, 21 February 2013
Problem
The number 
has the property that its units digit is the sum of its other digits, that is 
. How many integers less than but greater than 
share this property?
