Difference between revisions of "2012 AMC 10B Problems/Problem 20"

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−	~~<math>20.<~~/math> Bernardo and Silvia play the following game. An integer between <math>0</math> and <math>999</math>, inclusive, is selected and given to Bernardo. Whenever Bernardo receives a number, he doubles it and passes the result to Silvia. Whenever Silvia receives a number, she adds <math>50</math> to it and passes the result to Bernardo. The winner is the last person who produces a number less than <math>1000</math>. Let <math>N</math> be the smallest initial number that results in a win for Bernardo. What is the sum of the digits of <math>N</math>?	+	#REDIRECT [[2012 AMC 12B Problems/Problem 14]]
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−	<math>(A)</math> <math>7</math> <math>(B)</math> <math>8</math> <math>(C)</math> <math>9</math> <math>(D)</math> <math>10</math> <math>(E)</math> <math>11</math>