document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252644>Question 252644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fame is 10 years older than EJ. Five years ago, EJ was two years more than one-fourth as old as Fame. What are their present ages? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184736 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=184736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let F = fame and E = EJ.<BR>\n" );
document.write( "Read each sentence and translate into math.<BR>\n" );
document.write( "Fame is 10 years older than EJ.<BR>\n" );
document.write( "This translates to:<BR>\n" );
document.write( "(i) F = E + 10.<BR>\n" );
document.write( "Five years ago, EJ was two years more than one-fourth as old as Fame.<BR>\n" );
document.write( "Here you have to reduce both people by 5, -5.<BR>\n" );
document.write( "(ii) E - 5 = (1/4)(F - 5) + 2.<BR>\n" );
document.write( "We can use substitution of (i) into (ii)<BR>\n" );
document.write( "(iii) E - 5 = (1/4)(E + 10 - 5) + 2<BR>\n" );
document.write( "Solve for E.<BR>\n" );
document.write( "E - 5 = .25E + 2.5 -1.25 + 2<BR>\n" );
document.write( ".75E = 8.25<BR>\n" );
document.write( "E = 11<BR>\n" );
document.write( "F = 21.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );