document.write( "Question 212715: The product of two numbers is 50. If you divide the larger number by the smaller number you get 2. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #160633 by nerdybill(7384)\"\" \"About 
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The product of two numbers is 50. If you divide the larger number by the smaller number you get 2. What are the numbers?
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\n" ); document.write( "Let x = larger number
\n" ); document.write( "and y = smaller number
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\n" ); document.write( "Then, from \"The product of two numbers is 50.\" we get equation 1:
\n" ); document.write( "xy = 50
\n" ); document.write( "and, from \"If you divide the larger number by the smaller number you get 2.\" we get equation 2:
\n" ); document.write( "x/y = 2
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\n" ); document.write( "Solving equation 1 for y we get:
\n" ); document.write( "xy = 50
\n" ); document.write( "y = 50/x
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\n" ); document.write( "Substitute the above into equation 2 and solve for x:
\n" ); document.write( "x/y = 2
\n" ); document.write( "x/(50/x) = 2
\n" ); document.write( "x^2/50 = 2
\n" ); document.write( "x^2 = 100
\n" ); document.write( "x = 10 or -10
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\n" ); document.write( "Substitute the above into equation 1 and solve for y:
\n" ); document.write( "xy = 50
\n" ); document.write( "y = 50/x
\n" ); document.write( "y = 5 or -5
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\n" ); document.write( "Your two integers are:
\n" ); document.write( "10 and 5
\n" ); document.write( "OR
\n" ); document.write( "-10 and -5\r
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