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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document.write( "A. 4
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document.write( "B. 5
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document.write( "C. 6
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document.write( "D. 7 \n" );
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Algebra.Com's Answer #838458 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem is posed incorrectly and is SELF-CONTRADICTING.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); 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" ); document.write( "\r\n" ); 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" ); document.write( "\r\n" ); 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" ); document.write( "\r\n" ); 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" ); document.write( "\r\n" ); 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" ); document.write( "\r\n" ); document.write( "26 2 43 45 -41 ( 2,43)\r\n" ); document.write( "27 1 44 45 -43 ( 1,44)\r\n" ); document.write( "\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "All 27 pairs in the last column are different and satisfy the problem's requirement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the conclusion is: the problem formulation is FATALLY and TOTALLY wrong.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I saw this problem (or similar, or in similar formulations) at this forum years ago, \n" ); document.write( "and saw discussions of it by different tutors.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |