document.write( "Question 893067: The sum of the digits of a two digit number is 9. If 9 is added to the number, then the digits are reversed.Find the number. \n" ); document.write( "
Algebra.Com's Answer #541223 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let the number be XY.  Then when you add 9 you have this:\r\n" );
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document.write( "                     XY\r\n" );
document.write( "                    + 9\r\n" );
document.write( "                   ----\r\n" );
document.write( "                     YX\r\n" );
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document.write( "9 is so large that when you add 9 to Y you are bound to have to carry 1.  \r\n" );
document.write( "So let's put a 1 to carry above the X in the left column:\r\n" );
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document.write( "                     1\r\n" );
document.write( "                     XY\r\n" );
document.write( "                    + 9\r\n" );
document.write( "                   ----\r\n" );
document.write( "                     YX\r\n" );
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document.write( " The 1 to carry shows that Y is 1 more than X, so do a little trial and error:\r\n" );
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document.write( "Is X 1 and Y 2?  No because 1+2 isn't 9.\r\n" );
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document.write( "                     1\r\n" );
document.write( "                     12\r\n" );
document.write( "                    + 9\r\n" );
document.write( "                   ----\r\n" );
document.write( "                     21\r\n" );
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document.write( "But the digits are reversed.\r\n" );
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document.write( "Is X 2 and Y 3?  No because 2+3 isn't 9.\r\n" );
document.write( "\r\n" );
document.write( "                     1\r\n" );
document.write( "                     23\r\n" );
document.write( "                    + 9\r\n" );
document.write( "                   ----\r\n" );
document.write( "                     32\r\n" );
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document.write( "But the digits are reversed.\r\n" );
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document.write( "Is X 3 and Y 4?  No because 3+4 isn't 9.\r\n" );
document.write( "\r\n" );
document.write( "                     1\r\n" );
document.write( "                     34\r\n" );
document.write( "                    + 9\r\n" );
document.write( "                   ----\r\n" );
document.write( "                     43\r\n" );
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document.write( "But the digits are reversed.\r\n" );
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document.write( "Is X 4 and Y 5?  4+5=9.  HEY! RIGHT\r\n" );
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document.write( "                     1\r\n" );
document.write( "                     45\r\n" );
document.write( "                    + 9\r\n" );
document.write( "                   ----\r\n" );
document.write( "                     54\r\n" );
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document.write( "And the digits are reversed. HEY!  THAT'S IT!!!!\r\n" );
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document.write( "Phil
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