document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092026>Question 1092026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A board, 39 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 4 cm longer than the second. Find the length of the shorter piece. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706525 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3 pieces: x, y, z<BR>\n" );
document.write( "the second, y, is 2x or y = 2x<BR>\n" );
document.write( "the 3rd, z, is 4cm longer than y, or z = y+4<BR>\n" );
document.write( "x+y+z = 39 substituting:<BR>\n" );
document.write( "x+2x+y+4 = 39 OK, this won't work because x and y don't mix. But since we know that y = 2x, we can add 4 to this y-equivalent, like this:<BR>\n" );
document.write( "x+2x+2x+4 = 39 <BR>\n" );
document.write( "Now we've got it. Add up the x:<BR>\n" );
document.write( "5x+4 = 39<BR>\n" );
document.write( "5x = 35<BR>\n" );
document.write( "x = 7<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "x = 7<BR>\n" );
document.write( "y = 2x = 14<BR>\n" );
document.write( "z = 2x+4 = 18<BR>\n" );
document.write( "7+14+18 = 39 Correct<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );