document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765882>Question 765882</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of 4 consecutive multiples of 12 have a sum of 216. What is the greatest of these numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466494 by </B><A HREF=/tutors/aboutme.mpl?userid=suruman><B>suruman(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=suruman><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=suruman><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 4 consecutive multiples of 12.<BR>\n" );
document.write( "Let the consecutive numbers be:<BR>\n" );
document.write( "12*(n-1), 12*(n),12*(n+1) and 12*(n+2).<BR>\n" );
document.write( "Sum of the consecutive numbers equals 216.<BR>\n" );
document.write( "Thus,<BR>\n" );
document.write( "12 * {(n-1)+(n)+(n+1)+(n+2) } = 216<BR>\n" );
document.write( "(3*n)+(n+2)=216/12 = 18<BR>\n" );
document.write( "4*n + 2 = 18<BR>\n" );
document.write( "4*n = 16<BR>\n" );
document.write( "n=16/4 = 4<BR>\n" );
document.write( "Hence the greatest of these numbers = 12*(n+2) = 12*(4+2) = 12*6 = 72.<BR>\n" );
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