document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118360>Question 118360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and three times another number is 18. Find the numbers if their product is a maximum.  Please Help :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86477 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=86477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x=number, y=\"other number\" ___ x+3y=18 ___ x=18-3y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "product=x*y ___ p=(18-3y)y ___ p=18y-3y^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "maximum is on the axis of symmetry ___ y=-b/2a ___ y=-18/(2(-3)) ___ y=3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x+3(3)=18 ___ x=9 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );