document.write( "Question 150566This question is from textbook
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Algebra.Com's Answer #110613 by Edwin McCravy(20056)\"\" \"About 
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the units digit of a two-digit number is 3 less than its tens digit. if the number is divided by the sum of its digit, the quotient is 6 and the remainder is 8. find the number?
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document.write( "t = tens digit\r\n" );
document.write( "u = units digit\r\n" );
document.write( "10t+u = the number\r\n" );
document.write( "t+u = sum of the digirs\r\n" );
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document.write( ">>...the units digit of a two-digit number \r\n" );
document.write( "is 3 less than its tens digit...<<\r\n" );
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document.write( "            \"u+=+t+-+3\"\r\n" );
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document.write( ">>...if the number is divided by the sum of \r\n" );
document.write( "its digit, the quotient is 6 and the remainder\r\n" );
document.write( "is 8...<<\r\n" );
document.write( "                 \r\n" );
document.write( "               quotient \r\n" );
document.write( "sum of digits) the number\r\n" );
document.write( "               __________\r\n" );
document.write( "               remainder\r\n" );
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document.write( "\"%28quotient%29%2A%28sum_of_digits%29+%2B+%28remainder%29+=+%28the_number%29\"  \r\n" );
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document.write( "\"6%28t%2Bu%29%2B8+=+10t%2Bu\"\r\n" );
document.write( "\"6t%2B6u%2B8=10t%2Bu\"\r\n" );
document.write( "\"-4t%2B5u=-8\"\r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( "\"u+=+t+-+3\"\r\n" );
document.write( "\"-4t%2B5u=-8\"\r\n" );
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document.write( "Solve that by substitution and we get\r\n" );
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document.write( "t = 7 and u = 4\r\n" );
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document.write( "So the number is 74.\r\n" );
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document.write( "the units digit, 4, is 3 less than its tens digit 7.  That \r\n" );
document.write( "checks.\r\n" );
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document.write( "If the number, 74, is divided by the sum of its digit, 11, \r\n" );
document.write( "the quotient is 6 and the remainder is 8\r\n" );
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document.write( "    6               \r\n" );
document.write( "11)74\r\n" );
document.write( "   66\r\n" );
document.write( "    8\r\n" );
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document.write( "That checks.\r\n" );
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document.write( "Edwin
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