document.write( "Question 373475: The denominator of a fraction is 5 more than twice the numerator. If the numerator is doubled, and the denominator is increased by 5, the new fraction is equal to 1/2. Find the oricinal fraction. \n" ); document.write( "
Algebra.Com's Answer #266019 by ankor@dixie-net.com(22740)\"\" \"About 
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The denominator of a fraction is 5 more than twice the numerator.
\n" ); document.write( " If the numerator is doubled, and the denominator is increased by 5,
\n" ); document.write( " the new fraction is equal to 1/2.
\n" ); document.write( "Find the original fraction.
\n" ); document.write( ":
\n" ); document.write( "Let x = the numerator
\n" ); document.write( "then
\n" ); document.write( "(2x+5) = the denominator
\n" ); document.write( ":
\n" ); document.write( "\"If the numerator is doubled, and the denominator is increased by 5,
\n" ); document.write( " the new fraction is equal to 1/2. \"
\n" ); document.write( "\"%282x%29%2F%28%282x%2B5%2B5%29%29\" = \"1%2F2\"
\n" ); document.write( "\"%282x%29%2F%28%282x%2B10%29%29\" = \"1%2F2\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "2(2x) = 2x + 10
\n" ); document.write( "4x = 2x + 10
\n" ); document.write( "4x - 2x = 10
\n" ); document.write( "2x = 10
\n" ); document.write( "x = 5
\n" ); document.write( ":
\n" ); document.write( "The original equation
\n" ); document.write( "\"5%2F%28%282%285%29%2B5%29%29\" = \"5%2F15\"
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