document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912622>Question 912622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm Very confused on these types of questions : <BR>\n" );
document.write( "Find the three largest consecutive intergers whose sum is less than 86 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553947 by </B><A HREF=/tutors/aboutme.mpl?userid=ichigo449><B>ichigo449(30)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichigo449><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=553947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the least of such integers. Then the other two terms are x+1 and x+2. Now the summation condition translates to: 3x+3<86. Now factor out a 3: 3(x+1)<86. Divide by 3: x+1<86/3. But 86/3 is not an integer and so we apply the ceiling function: Ce(86/3) = 29. Now continue as normal: x<28. Now the desired integers are: 27, 28, 29.   </SPAN>\n" );
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