document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063281>Question 1063281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the numerator and denominator of a fraction  is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determine the fraction.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678397 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=678397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determine the fraction.<BR>\n" );
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document.write( "Let the fraction be a/b<BR>\n" );
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document.write( "Equations::<BR>\n" );
document.write( "a + b = 2a + 4<BR>\n" );
document.write( "(a+3)/(b+3) = 2/3<BR>\n" );
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document.write( "Modify::<BR>\n" );
document.write( "a = b-4<BR>\n" );
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document.write( "Substitute for \"a\" and solve for \"b\"::<BR>\n" );
document.write( "(b-4+3)/(b+3) = 2/3<BR>\n" );
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document.write( "3b-3 = 2b+6<BR>\n" );
document.write( "b = 9<BR>\n" );
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document.write( "Solve for \"a\":<BR>\n" );
document.write( "a = b-4<BR>\n" );
document.write( "a = 5<BR>\n" );
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document.write( "Ans: a/b = 5/9<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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