document.write( "Question 1183754: The sum of two whole number is 45 and their difference is less than 10. what is the number of possible pair
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Algebra.Com's Answer #814207 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "You are given a system, consisting of one equation and one inequality\r\n" );
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document.write( "    x + y = 45    (1)\r\n" );
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document.write( "    x - y < 10    (2)\r\n" );
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document.write( "where  x  and  y  are whole numbers.\r\n" );
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document.write( "Let solve the problem graphically to make the solution visible.\r\n" );
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document.write( "The figure below shows the line  x + y = 45  (red line)  and line y = x - 10 (green line).\r\n" );
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document.write( "The solution set for the system (1), (2) is the set of integer points on the red line, that are ABOVE the green line.\r\n" );
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document.write( "    \r\n" );
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document.write( "                                Plot x + y = 45 (red),  y = x -10 (green)\r\n" );
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document.write( "You can count these points manually.\r\n" );
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document.write( "Their number is  (a)  28, if the zero is admitted for x as a whole number,\r\n" );
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document.write( "             or  (b)  27, if the zero is NOT admitted for x as a whole number.\r\n" );
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document.write( "The set of solutions is  (0,45), (1,44), (2,43), (3,42), . . . , (27,18) in case (a)  (28 pairs)\r\n" );
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document.write( "                     or          (1,44), (2,43), (3,42), . . . , (27,18) in case (b)  (27 pairs)\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "I do not agree with the @greenestamps comment regarding my solution,\r
\n" ); document.write( "\n" ); document.write( "as well as I do not agree with his solution.\r
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\n" ); document.write( "\n" ); document.write( "@greenestamps actually solved another problem, which says\r
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document.write( "    The sum of two whole number is 45 and their distance on the number line is less than 10. \r\n" );
document.write( "    What is the number of possible pair ?\r\n" );
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\n" ); document.write( "\n" ); document.write( "In my post, I solved the problem CORRECTLY and exactly as it was formulated/worded in the post.\r
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