document.write( "Question 191325: The denominator of fraction is 4 more than its numenator . Taking square of this fraction we get a new fraction .The difference between the denominator and numenator of the new fraction is 40. Find the fraction. \n" ); document.write( "
Algebra.Com's Answer #143634 by ankor@dixie-net.com(22740)\"\" \"About 
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\n" ); document.write( "The denominator of fraction is 4 more than its numerator.
\n" ); document.write( "d = n + 4
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\n" ); document.write( "Taking square of this fraction we get a new fraction.
\n" ); document.write( "n^2/d^2
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\n" ); document.write( "The difference between the denominator and numerator of the new fraction is 40.
\n" ); document.write( "d^2 - n^2 = 40
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\n" ); document.write( " Find the fraction.
\n" ); document.write( "Substitute (n+4) for d in the above equation
\n" ); document.write( "(n+4)^2 - n^2 = 40
\n" ); document.write( "FOIL
\n" ); document.write( "n^2 + 8n + 16 - n^2 = 40
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\n" ); document.write( "8n = 40 - 16
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\n" ); document.write( "8n = 24
\n" ); document.write( "n = \"24%2F8\"
\n" ); document.write( "n = 3
\n" ); document.write( "then
\n" ); document.write( "d = 3 + 4
\n" ); document.write( "d = 7
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\n" ); document.write( "\"3%2F7\" is the fraction
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\n" ); document.write( "Check:
\n" ); document.write( "9/49 is the new fraction, difference of 40 \n" ); document.write( "
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