document.write( "Question 1194290: Two numbers differ by 8 and their name product is 209. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #826447 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Let x be the number exactly half way between our two numbers.\r\n" );
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document.write( "Then the two numbers are x+4 and x-4;  their product is (x+4)*(x-4) = x^2 - 16.\r\n" );
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document.write( "So we have this equation for x\r\n" );
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document.write( "    x^2 - 16 = 209\r\n" );
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document.write( "    x^2 = 209 + 16 = 225.\r\n" );
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document.write( "Thus  x =  = +/- 15/\r\n" );
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document.write( "The problem has two solutions.\r\n" );
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document.write( "One solution is the pair  (15-4,15+4) = (11,19).\r\n" );
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document.write( "Another solution is the pair  (-15-4,-15+4) = (-19,-11).\r\n" );
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