document.write( "Question 1073860: If the sum of two positive integers is 24 and the difference of their squares is 48. What is the product of the two integers? \n" ); document.write( "

Algebra.Com's Answer #688679 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "The standard method for solving such problems is THIS:\r\n" );
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document.write( " = 48,\r\n" );
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document.write( "(x+y)*(x-y) = 48.\r\n" );
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document.write( "Replace x+y by 24 (given !).\r\n" );
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document.write( "24*(x-y) = 48,  ---->\r\n" );
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document.write( "x - y = 2.\r\n" );
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document.write( "Now you have two equations\r\n" );
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document.write( "x + y = 24,\r\n" );
document.write( "x - y =  2.\r\n" );
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document.write( "Add them and get 2x = 26  --->  x = 13.\r\n" );
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document.write( "Then y = 11.\r\n" );
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document.write( "Answer.  The numbers are 11 and 13.\r\n" );
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