document.write( "Question 1092213: The product of two numbers is 36 and their quotient is9.Find the numbers \n" ); document.write( "
Algebra.Com's Answer #706799 by math_helper(2461)\"\" \"About 
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xy = 36 (1)
\n" ); document.write( "x/y = 9 (2)\r
\n" ); document.write( "\n" ); document.write( "(2) —> x=9y
\n" ); document.write( "subs. this into (1):
\n" ); document.write( "(9y)y = 36
\n" ); document.write( "\"+9y%5E2+=+36+\"
\n" ); document.write( "\"++y%5E2+=+4+\"
\n" ); document.write( "\"+y=2+\" or \"+y=-2+\"\r
\n" ); document.write( "\n" ); document.write( "y=2 —> x=18
\n" ); document.write( "y=-2 —> x=-18
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\n" ); document.write( "Ans: The pairs (18,2) and (-18,-2) are the two solutions.
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\n" ); document.write( "Note: If by 'numbers' the problem means 'natural numbers' then the negative solution would be discarded, otherwise I am assuming negative integers are allowed.
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