document.write( "Question 1144040: the product of two positive rational numbers is 36/5. If one number is 4/5 of the other. What are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #765012 by Theo(13342)\"\" \"About 
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let x = one of the numbers.
\n" ); document.write( "let y = the other number.
\n" ); document.write( "x * y = 36/5
\n" ); document.write( "x = 4/5 * y
\n" ); document.write( "therefore x * y = 36/5 becomes 4/5 * y * y = 36/5
\n" ); document.write( "simplify to get 4/5 * y^2 = 36/5
\n" ); document.write( "multiply both sides of this equation by 5/4 to get:
\n" ); document.write( "y^2 = 36/5 * 5/4 = 9
\n" ); document.write( "solve for y to get y = 3
\n" ); document.write( "since x = 4/5 * y, then x = 4/5 * 3 = 12/5
\n" ); document.write( "the two numbers are 12/5 and 3.
\n" ); document.write( "12/5 * 3 = 36/5 so that checks out.
\n" ); document.write( "12/5 = 4/5 * 3 = 12/5 so that checks out.
\n" ); document.write( "the two numbers are 12/5 and 3.
\n" ); document.write( "12/5 * 3 = 36/5
\n" ); document.write( "(12/5)/3 = 12/5 * 1/3 = 12/15 * (1/3) / (1/3) = 4/5 which means that 12/5 is equal to 4/5 * 3.
\n" ); document.write( "your solution is that the two numbers are 12/5 and 3.\r
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