document.write( "Question 1071827: A two-digit positive integer x has the property that when 109 is divided by x, the remainder is 4. What is the sum of all such two-digit positive integers x? \n" ); document.write( "
Algebra.Com's Answer #686761 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "        QUOTIENT\r\n" );
document.write( "DIVISOR)DIVIDEND\r\n" );
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document.write( "         ##       \r\n" );
document.write( "         REMAINDER\r\n" );
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document.write( "DIVIDEND = QUOTIENT×DIVISOR + REMAINDER\r\n" );
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document.write( "           q\r\n" );
document.write( "       x)109\r\n" );
document.write( "         ##\r\n" );
document.write( "          ##\r\n" );
document.write( "           4\r\n" );
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document.write( "109 = q∙x + 4\r\n" );
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document.write( "105 = q∙x\r\n" );
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document.write( "105 = 3∙5∙7\r\n" );
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document.write( "The only possible two digit numbers we can make\r\n" );
document.write( "from multiplying, using 3,5, and 7 are \r\n" );
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document.write( "3∙5=15, 3∙7=21, and 5∙7=35\r\n" );
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document.write( "     7             5              3\r\n" );
document.write( "15)109        21)109         35)109 \r\n" );
document.write( "   105           105            105 \r\n" );
document.write( "     4             4              4\r\n" );
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document.write( "Answer = 15+21+35 = 71\r\n" );
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document.write( "Edwin
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