document.write( "Question 159192: find two positive numbers so that twice their sum euals their product and one number is 10 times the other number \n" ); document.write( "
Algebra.Com's Answer #117316 by ankor@dixie-net.com(22740)\"\" \"About 
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Two numbers x & y
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\n" ); document.write( "find two positive numbers so that twice their sum equals their product
\n" ); document.write( "2(x+y) = xy
\n" ); document.write( "2x + 2y = xy
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\n" ); document.write( " and one number is 10 times the other number
\n" ); document.write( "x = 10y
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\n" ); document.write( "Substitute 10y for x in the 1st equation, find y
\n" ); document.write( "2(10y) + 2y = y(10y)
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\n" ); document.write( "20y + 2y = 10y^2
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\n" ); document.write( "22y = 10y^2
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\n" ); document.write( "0 = 10y^2 - 22y
\n" ); document.write( "Factor
\n" ); document.write( "2y(5y - 11) = 0
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\n" ); document.write( "5y = +11
\n" ); document.write( "y = \"11%2F5\"
\n" ); document.write( "y = 2.2
\n" ); document.write( "then
\n" ); document.write( "x = 10(2.2)
\n" ); document.write( "x = 22
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\n" ); document.write( "Check solutions in the 1st equation:
\n" ); document.write( "2(22 + 2.2) = 22*2.2
\n" ); document.write( "2(24.2) = 48.4
\n" ); document.write( "48.4 = 48.4 \n" ); document.write( "
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