document.write( "Question 46085: Hello,\r
\n" ); document.write( "\n" ); document.write( "I could really use help with this problem:\r
\n" ); document.write( "\n" ); document.write( "The product of two numbers is 20, and the sum of their reciprocals is 3/5. Find the numbers. \r
\n" ); document.write( "\n" ); document.write( "Thank you in advance,
\n" ); document.write( "Louis
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Algebra.Com's Answer #30595 by Paul(988)\"\" \"About 
You can put this solution on YOUR website!
Let the numbers be x and y
\n" ); document.write( "EQUATION 1:
\n" ); document.write( "xy=20
\n" ); document.write( "\"y=20%2Fx\"
\n" ); document.write( "EQUATION 2:
\n" ); document.write( "\"1%2Fx%2B1%2Fy=3%2F5\"
\n" ); document.write( "SUbsitue for y:
\n" ); document.write( "\"1%2Fx%2B1%2F%2820%2Fx%29=3%2F5\"
\n" ); document.write( "\"1%2Fx%2Bx%2F20=3%2F5\"
\n" ); document.write( "\"20%2Bx%5E2=%283%2820%29%28x%29%29%2F5\"
\n" ); document.write( "\"20%2Bx%5E2=60x%2F5\"
\n" ); document.write( "\"100%2B5x%5E2=60x\"
\n" ); document.write( "\"x%5E2-12x%2B20=0\"
\n" ); document.write( "Factor
\n" ); document.write( "x=2 and y= 10
\n" ); document.write( "Hence, the two numbers are 2 and 10
\n" ); document.write( "Paul.
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