document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106200>Question 1106200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallest equals the sum of the third and 55, find the numbers<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721144 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As posted, I interpret \"the third\" to mean the third number in a list of numbers,<BR>\n" );
document.write( "where the first, second, and third are in the ratio 4:5:6 respectively.<BR>\n" );
document.write( "That will not yield 3 integers, but fractions are numbers too.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Let the numbers be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x ALIGN=MIDDLE  ALT=\"4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x ALIGN=MIDDLE  ALT=\"5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x ALIGN=MIDDLE  ALT=\"6x\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That makes sure that they are in the ratio of 4:5:6. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B4x=10x ALIGN=MIDDLE  ALT=\"6x%2B4x=10x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the sum of the largest and the smallest.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B55 ALIGN=MIDDLE  ALT=\"6x%2B55\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the sum of the third and 55.<BR>\n" );
document.write( "So, the equation to solve is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x=6x%2B55 ALIGN=MIDDLE  ALT=\"10x=6x%2B55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-6x=55 ALIGN=MIDDLE  ALT=\"10x-6x=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=highlight%2855%29 ALIGN=MIDDLE  ALT=\"4x=highlight%2855%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the smallest number<BR>\n" );
document.write( "From <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=55 ALIGN=MIDDLE  ALT=\"4x=55\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=55%2F4 ALIGN=MIDDLE  ALT=\"x=55%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=5%2855%2F4%29=highlight%28275%2F4%29 ALIGN=MIDDLE  ALT=\"5x=5%2855%2F4%29=highlight%28275%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=6%2855%2F4%29=6%2A55%2F4=3%2A55%2F2=highlight%28165%2F4%29 ALIGN=MIDDLE  ALT=\"6x=6%2855%2F4%29=6%2A55%2F4=3%2A55%2F2=highlight%28165%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );