document.write( "Question 1192796: MAT 145: Topics In Contemporary Math
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Algebra.Com's Answer #824695 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I suppose you want (X - Y) mod R in the form  A + RN where 0 ≤ A < R,\r\n" );
document.write( "and where N is any integer.\r\n" );
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document.write( "(48 - 15) mod 10
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document.write( "48 - 15 = 38, it's greater than 10, subtract 10, get 28. Still\r\n" );
document.write( "greater than 10.  Subtract 10, get 18. Still greater than 10,\r\n" );
document.write( "subtract 10, get 8.\r\n" );
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document.write( "Answer: 8 + 10N\r\n" );
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document.write( "(24 - 31) mod 5
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document.write( "24 - 31 = -7, it's negative, so add 5, get -2. Still negative, add 5,\r\n" );
document.write( "get 3   \r\n" );
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document.write( "Answer: 3 + 5N \r\n" );
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document.write( "(62 - 85) mod 12\r\n" );
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document.write( "62 - 85 = -23, it's negative. so add 12, get -12. Still negative,\r\n" );
document.write( "add 12 again, get 1.  \r\n" );
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document.write( "Answer: 1 + 12N\r\n" );
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document.write( "Edwin
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