document.write( "Question 1178800: In the following addition problem, each letter represents one of the digits
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document.write( "0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. The leading digits represented by A and B
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document.write( "are nonzero digits.
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document.write( "What digit is represented by each letter?
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document.write( " A \r\n" );
document.write( "+ B B\r\n" );
document.write( "______ \r\n" );
document.write( "A D D
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document.write( "
Algebra.Com's Answer #808207 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " A\r\n" ); document.write( "+\r\n" ); document.write( " B B\r\n" ); document.write( "------------\r\n" ); document.write( "\r\n" ); document.write( " A D D\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. A = 1; B = 9; D = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 1\r\n" ); document.write( "+\r\n" ); document.write( " 9 9\r\n" ); document.write( "------------\r\n" ); document.write( "\r\n" ); document.write( " 1 0 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " S O L U T I O N\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Since \"A\" is the leading digit of the sum, it is clear that A = 1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Next, since a two-digit number BB after adding the \"1\" becomes a three-digit number ADD, \r\n" ); document.write( "\r\n" ); document.write( "it is clear that BB is 99. Than for the sum ADD there is only one possibility to be 100.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |