document.write( "Question 1203135: The sum of two whole numbers is 45 and their difference is less than 10. The number of all possible pairs is: WAN.Algebra.com
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Algebra.Com's Answer #838458 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "This problem is posed incorrectly and is  SELF-CONTRADICTING.\r
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\n" ); document.write( "\n" ); document.write( "If to understand it precisely as it is written,  then the set of all possible solutions is in this table below\r
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document.write( " n    First    Second    The         The          The \r\n" );
document.write( "      number   number    sum      difference     pairs\r\n" );
document.write( " ---------------------------------------------------------\r\n" );
document.write( " 1      23       22       45          1          (23,22)\r\n" );
document.write( " 2      24       21       45          3          (24,21)\r\n" );
document.write( " 3      25       20       45          5          (25,20)\r\n" );
document.write( " 4      26       19       45          7          (26,19)\r\n" );
document.write( " 5      27       18       45          9          (27,18)\r\n" );
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document.write( " 6      22       23       45         -1          (22,23)\r\n" );
document.write( " 7      21       24       45         -3          (21,24)\r\n" );
document.write( " 8      20       25       45         -5          (20,25)\r\n" );
document.write( " 9      19       26       45         -7          (19,26)\r\n" );
document.write( "10      18       27       45         -9          (18,27)\r\n" );
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document.write( "11      17       28       45        -11          (17,28)\r\n" );
document.write( "12      16       29       45        -13          (16,29)\r\n" );
document.write( "13      15       30       45        -15          (15,30)\r\n" );
document.write( "14      14       31       45        -17          (14,31)\r\n" );
document.write( "15      13       32       45        -19          (13,32)\r\n" );
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document.write( "16      12       33       45        -21          (12,33)\r\n" );
document.write( "17      11       34       45        -23          (11,34)\r\n" );
document.write( "18      10       35       45        -25          (10,35)\r\n" );
document.write( "19       9       36       45        -27          ( 9,36)\r\n" );
document.write( "20       8       37       45        -29          ( 8,37)\r\n" );
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document.write( "21       7       38       45        -31          ( 7,38)\r\n" );
document.write( "22       6       39       45        -33          ( 6,39)\r\n" );
document.write( "23       5       40       45        -35          ( 5,40)\r\n" );
document.write( "24       4       41       45        -37          ( 4,41)\r\n" );
document.write( "25       3       42       45        -39          ( 3,42)\r\n" );
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document.write( "26       2       43       45        -41          ( 2,43)\r\n" );
document.write( "27       1       44       45        -43          ( 1,44)\r\n" );
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\n" ); document.write( "\n" ); document.write( "As you see,  there are  27  solutions,  which number  27  is not in your list of possible answers.\r
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\n" ); document.write( "\n" ); document.write( "All  27  pairs in the last column are different and satisfy the problem's requirement.\r
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\n" ); document.write( "\n" ); document.write( "Therefore,  the conclusion is:  the problem formulation is  FATALLY  and  TOTALLY  wrong.\r
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\n" ); document.write( "\n" ); document.write( "I clearly understand that this problem,  as presented in this post,  migrates in the  Internet
\n" ); document.write( "from site to site during the years,  while its right place is in  GARBAGE  BIN.\r
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\n" ); document.write( "\n" ); document.write( "I saw this problem  (or similar,  or in similar formulations) at this forum  years ago,
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\n" ); document.write( "\n" ); document.write( "My point of view is that such  GIBBERISH  does not deserve any discussion.
\n" ); document.write( "What it really deserves,  is to be removed/deleted from the  Internet.\r
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