document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417652>Question 417652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you increase the numerator if by 3 and the denominator by 4, the value of the fraction will be doubled. The denominator of the original fraction is 1 more than the numerator. Find the original fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292383 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you increase the numerator if by 3 and the denominator by 4, the value of the fraction will be doubled. The denominator of the original fraction is 1 more than the numerator. Find the original fraction.<BR>\n" );
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document.write( "Let the original fraction be x/y<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "(x+3)/(y+4) = 2(x/y)<BR>\n" );
document.write( "y = x+1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute for \"y\" and solve for \"x\":<BR>\n" );
document.write( "(x+3)/(x+5) = 2(x/(x+1))<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Cross-multiply:<BR>\n" );
document.write( "(x+3)(x+1) = (x+5)(2x)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2+4x+3 = 2x^2+10x<BR>\n" );
document.write( "x^2+6x-3 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = [-6 +- sqrt(36-4*1*-3)]/2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x = [-6 +- sqrt(48)]/2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x = [-6 +- 4sqrt(3)]/2<BR>\n" );
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document.write( "x = -3+2sqrt(3)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"y\":<BR>\n" );
document.write( "y = x+1<BR>\n" );
document.write( "y = -2+2sqrt(3)<BR>\n" );
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document.write( "I doubt that is the answer you are looking for<BR>\n" );
document.write( "but that is what your post implies.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );