document.write( "Question 912068: the product of two numbers is six times their sum. the sum of their squares is 325 what are the two numbers? \n" ); document.write( "

Algebra.Com's Answer #805775 by CubeyThePenguin(3113) $\"\"$ $\"About$

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xy = 6(x + y)
\n" ); document.write( "x^2 + y^2 = 325\r
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\n" ); document.write( "\n" ); document.write( "xy - 6x - 6y = 0
\n" ); document.write( "(x - 6)(y - 6) = 36\r
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\n" ); document.write( "\n" ); document.write( "x - 6 = 1, y - 6 = 36 ---> (x, y) = (7, 42)
\n" ); document.write( "x - 6 = 2, y - 6 = 18 ---> (x, y) = (8, 24)
\n" ); document.write( "x - 6 = 3, y - 6 = 12 ---> (x, y) = (9, 18)
\n" ); document.write( "x - 6 = 4, y - 6 = 9 ---> (x, y) = (10, 15)
\n" ); document.write( "x - 6 = 6, y - 6 = 6 ---> (x, y) = (12, 12)
\n" ); document.write( "x - 6 = 9, y - 6 = 4 ---> (x, y) = (15, 10)
\n" ); document.write( "x - 6 = 12, y - 6 = 3 ---> (x, y) = (18, 9)
\n" ); document.write( "x - 6 = 18, y - 6 = 2 ---> (x, y) = (24, 8)
\n" ); document.write( "x - 6 = 36, y - 6 = 1 ---> (x, y) = (42, 7)\r
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\n" ); document.write( "\n" ); document.write( "The pairs that work are (x, y) = (10, 15) and (15, 10). \n" ); document.write( "

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