document.write( "Question 992184: the number 1358*16, where * represents a digit, is exactly
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document.write( "divisible by 11 then, then what digit is represented by *? \n" );
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Algebra.Com's Answer #611804 by ikleyn(52810)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Hello, \r \n" ); document.write( "\n" ); document.write( "there is much shorter solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The \"divisibility by 11 rule\" says: the number is divisible by 11 if and only if the alternate sum of its digits is divisible by 11. \r \n" ); document.write( "\n" ); document.write( "See the lesson Divisibility by 11 rule in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In our case the alternate sum of digits is \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 - 3 + 5 - 8 + x - 1 + 6 = -5 + x + 5 = x,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where x stands instead of asterisk. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, x should be zero to be divisible by 11, and, hence, our number is 1358016.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |