document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068309>Question 1068309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 2 candles, one shorter than the other, which are lit at the same time.<BR>\n" );
document.write( "After a while the longer one is 12cm in height while the other one is 5cm shorter than it's beginning lenght.<BR>\n" );
document.write( "You know that the shorter candle burns half as fast as the longer one.<BR>\n" );
document.write( "What's their lenght on the exact moment when they're both equal in lenght? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #683553 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=683553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  There are 2 candles, one shorter than the other, which are lit at the same time.<BR>\n" );
document.write( "After a while the longer one is 12cm in height while the other one is 5cm shorter than it's beginning length.<BR>\n" );
document.write( "You know that the shorter candle burns half as fast as the longer one.<BR>\n" );
document.write( "What's their length on the exact moment when they're both equal in length?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let a = the original length of the longer candle<BR>\n" );
document.write( "let b = the original length of the other candle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We know b candle is 5cm shorter and burns half of fast as a, therefore<BR>\n" );
document.write( "While b burns 5 cm, then a burns 10 cm<BR>\n" );
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document.write( "a - 10 = b - 5<BR>\n" );
document.write( "a = b - 5 + 10<BR>\n" );
document.write( "a = b + 5<BR>\n" );
document.write( "Given that a = 12 cm after burning away 10 cm <BR>\n" );
document.write( "a - 10 = 12<BR>\n" );
document.write( "a = 22 cm is the original length of the longer candle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "replace a with 22 in the first equation<BR>\n" );
document.write( "22 = b + 5<BR>\n" );
document.write( "b = 22 - 5<BR>\n" );
document.write( "b = 17 cm is the original length of the shorter candle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"What's their length on the exact moment when they're both equal in length?<BR>\n" );
document.write( "22 - 10 = 17 - 5<BR>\n" );
document.write( "12 cm when they are the same length<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );