document.write( "Question 1066226: a three digit number is equal to17 times the sum of its digits.
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document.write( "if 198 is added to the number, the digits are interchanged.
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document.write( "the addition of first and third digit is 1less than middle digit.
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document.write( "find the number \n" );
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Algebra.Com's Answer #681407 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Let h = the hundreds digit\r\n" ); document.write( "Let t = the tens digit\r\n" ); document.write( "Let u = the units (or ones) digit\r\n" ); document.write( " \n" ); document.write( "a three digit number is equal to 17 times the sum of its digits. \n" ); document.write( " \r\n" ); document.write( "100h+10t+u = 17(h+t+u)\r\n" ); document.write( "100h+10t+u = 17h+17t+17u\r\n" ); document.write( "83h-7t-16u = 0\r\n" ); document.write( " \n" ); document.write( "if 198 is added to the number, the digits are interchanged. \n" ); document.write( " \r\n" ); document.write( "100h+10t+u+198 = 100u+10t+h\r\n" ); document.write( " 99h-99u = -198\r\n" ); document.write( " h-u = -2\r\n" ); document.write( " \n" ); document.write( "the addition of first and third digit is 1 less than middle digit. \n" ); document.write( " \r\n" ); document.write( " h+u = t-1\r\n" ); document.write( "h-t+u = -1\r\n" ); document.write( " \n" ); document.write( "find the number \n" ); document.write( " \r\n" ); document.write( "Solve this system:\r\n" ); document.write( "\r\n" ); document.write( "83h-7t-16u = 0\r\n" ); document.write( " h - u = -2\r\n" ); document.write( " h- t+ u = -1\r\n" ); document.write( "\r\n" ); document.write( "You finish.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |