document.write( "Question 247795: two numbers add up 20 when plusd and 96 when multiplied find the two numbers \n" ); document.write( "

Algebra.Com's Answer #180646 by stanbon(75887) $\"\"$ $\"About$

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two numbers add up 20 when plused and 96 when multiplied find the two numbers
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\n" ); document.write( "x + y = 20
\n" ); document.write( "xy = 96
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\n" ); document.write( "x = 20-y
\n" ); document.write( "Substitute into xy=96 to solve for \"y\":
\n" ); document.write( "(20-y)y = 96
\n" ); document.write( "-y^2 + 20y = 96
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\n" ); document.write( "Rearrange:
\n" ); document.write( "y^2 - 20y + 96 = 0
\n" ); document.write( "---
\n" ); document.write( "y = [20 +- sqrt(400 - 4*!*96)]/2
\n" ); document.write( "---
\n" ); document.write( "y = [20 +- sqrt(16)}/2
\n" ); document.write( "y = [20 +- 4]/2
\n" ); document.write( "y = (20+4]/2 = 12 or y = (20-4)/2 = 8
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\n" ); document.write( "Find the true solution(s):
\n" ); document.write( "If y = 12, x = 8 and the product is 96
\n" ); document.write( "If y = 8, x = 12 and the product is 96
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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