2003 AMC 12B Problems/Problem 8: Difference between revisions
Created page with "Let <math>a</math> and <math>b</math> be the digits of <math>x</math>, <cmath>\clubsuit(x) = a + b = 3</cmath> Clearly the only two digit numbers whose digits sum to <math>3</m..." |
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<cmath>\clubsuit(x) = a + b = 3</cmath> | <cmath>\clubsuit(x) = a + b = 3</cmath> | ||
Clearly the only two digit numbers whose digits sum to <math>3</math> are <math> | Clearly the only two digit numbers whose digits sum to <math>3</math> are <math>12, 21,</math> and <math>30.</math> Thus the solution is <math>3</math>. \Rightarrow {(A)} | ||
Revision as of 19:39, 1 November 2012
Let 
and 
be the digits of 
,
![\[\clubsuit(x) = a + b = 3\]](http://latex.artofproblemsolving.com/b/f/c/bfcc618ec99c464f3d295e96eb33641a446eeb36.png)
Clearly the only two digit numbers whose digits sum to 
are 
and 
Thus the solution is . \Rightarrow {(A)}
