document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=555745>Question 555745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sofia is 12 years older than her sister anna - maria. the product of their age is 540, how old is sofia </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361927 by </B><A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><B>TutorDelphia(193)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><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/cgi-bin/show-face.mpl?user=TutorDelphia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=361927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sofia is 12 years older than her sister anna - maria<BR>\n" );
document.write( "s=a+12<BR>\n" );
document.write( "the product of their age is 540, <BR>\n" );
document.write( "s*a=540<BR>\n" );
document.write( "Solve for s by dividing both sides by a<BR>\n" );
document.write( "s=540/a<BR>\n" );
document.write( "sub in 540/a in for s<BR>\n" );
document.write( "540/a=a+12<BR>\n" );
document.write( "multiply both sides by a to get a off the denominator<BR>\n" );
document.write( "540=a^2+12a<BR>\n" );
document.write( "subtract 540 from both sides<BR>\n" );
document.write( "a^2+12a-540=0<BR>\n" );
document.write( "factor the quadratic, list 540's factors or use the quadratic formula<BR>\n" );
document.write( "1,540<BR>\n" );
document.write( "2,270<BR>\n" );
document.write( "3,180<BR>\n" );
document.write( "4,135<BR>\n" );
document.write( "5,108<BR>\n" );
document.write( "6,90<BR>\n" );
document.write( "9,60<BR>\n" );
document.write( "10,54<BR>\n" );
document.write( "12,45<BR>\n" );
document.write( "18,30<BR>\n" );
document.write( "20,27\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "18 and 30 are the only ones that have a difference of 12. \r<BR>\n" );
document.write( "\n" );
document.write( "(a- 18)(a+ 30)=0<BR>\n" );
document.write( "a-18=0<BR>\n" );
document.write( "a=18<BR>\n" );
document.write( "a+30=0<BR>\n" );
document.write( "a=-30\r<BR>\n" );
document.write( "\n" );
document.write( "s=18+12<BR>\n" );
document.write( "s=30 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );