Difference between revisions of "2003 AMC 12B Problems/Problem 8"
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Let <math>a</math> and <math>b</math> be the digits of <math>x</math>, | Let <math>a</math> and <math>b</math> be the digits of <math>x</math>, | ||
| − | <cmath>\clubsuit( | + | <cmath>\clubsuit(\clubsuit(x)) = a + b = 3</cmath> |
Clearly the only two digit numbers whose digits sum to <math>3</math> are <math>12, 21,</math> and <math>30</math>, thus the answer is <math>3 \Rightarrow \text (A)</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 answer is <math>3 \Rightarrow \text (A)</math> | ||
Revision as of 22:24, 19 December 2012
Let 
and 
be the digits of 
,
![\[\clubsuit(\clubsuit(x)) = a + b = 3\]](http://latex.artofproblemsolving.com/f/f/4/ff44b47ffecb595f4a6536063ead47ab9c218244.png)
Clearly the only two digit numbers whose digits sum to 
are 
and 
, thus the answer is 
