document.write( "Question 414100: Mr. Morris thought about two positive numbers whose sum equals 20 but the difference of their squares is 40. What are the two numbers? \n" ); document.write( "

Algebra.Com's Answer #290443 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "two positive numbers whose sum equals 20 
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document.write( "Let x and (20-x) represent the numbers
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document.write( "Question states***
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document.write( "   (20-x)^2 - x^2 = 40
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document.write( "Solving for x
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document.write( "  400 - 40x + x^2 - x^2 = 40
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document.write( "      360 = 40x
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document.write( "       9 = x   The two positive numbers are 9 and 11  (20-9)\r
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document.write( "CHECKING our Answer***
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document.write( "   121 - 81 = 40 \n" );
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