document.write( "Question 1078876: a, b ,c are positive integers such that 10 > a > b > c > 0
\n" ); document.write( "N is the largest three digit number that has the digits a, b and c.
\n" ); document.write( "K is the smallest three digit number that has the digits a, b and c.
\n" ); document.write( "Use algebra to show that the difference between N and K is always a multiple of 99. \n" ); document.write( "
Algebra.Com's Answer #693271 by Edwin McCravy(20056)\"\" \"About 
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document.write( "N = 100a+10b+c\r\n" );
document.write( "K = 100c+10b+c\r\n" );
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document.write( "N-K = (100a+10b+c)-(100c+10b+a) = 100a+10b+c-100c-10b-a = 99a-99c = 99(a-c)\r\n" );
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document.write( "which is a multiple of 99 and it's positive since a > c\r\n" );
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document.write( "Edwin
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