document.write( "Question 926862: the sum of two numbers is twenty. the difference of the squares of the two numbers is eighty. find the two numbers \n" ); document.write( "

Algebra.Com's Answer #562553 by TimothyLamb(4379) $\"\"$ $\"About$

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x = first number
\n" ); document.write( "y = second number
\n" ); document.write( "---
\n" ); document.write( "x + y = 20
\n" ); document.write( "xx - yy = 80
\n" ); document.write( "---
\n" ); document.write( "y = 20 - x
\n" ); document.write( "xx - (20 - x)(20 - x) = 80
\n" ); document.write( "---
\n" ); document.write( "xx - (400 - 40x + xx) = 80
\n" ); document.write( "xx - 400 + 40x - xx = 80
\n" ); document.write( "-400 + 40x = 80
\n" ); document.write( "40x = 480
\n" ); document.write( "x = 12
\n" ); document.write( "y = 20 - 12
\n" ); document.write( "y = 8
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "x = 12
\n" ); document.write( "y = 8
\n" ); document.write( "---
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