Difference between revisions of "2003 AMC 12B Problems/Problem 8"

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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>12, 21,</math> and <math>30</math>, thus the answer is <math>3</math>. <math>\Rightarrow \text (A)</math>
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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 19:41, 1 November 2012

Let $a$ and $b$ be the digits of $x$,

\[\clubsuit(x) = a + b = 3\]

Clearly the only two digit numbers whose digits sum to $3$ are $12, 21,$ and $30$, thus the answer is $3 \Rightarrow \text (A)$