document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101857>Question 101857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> fiND FOUR CONSECUTIVE INTEGERS WHOSE SUM IS 244 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74056 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A+B+C+D=244<BR>\n" );
document.write( "Since they are consecutive integers, then <BR>\n" );
document.write( "B=A+1<BR>\n" );
document.write( "C=B+1=A+2<BR>\n" );
document.write( "D=C+1=B+2=A+3<BR>\n" );
document.write( "Substituting into the first equation:<BR>\n" );
document.write( "A+(A+1)+(A+2)+(A+3)=244<BR>\n" );
document.write( "4A+6=244<BR>\n" );
document.write( "4A+6-6=244-6 Additive inverse of 6 or (-6)<BR>\n" );
document.write( "4A = 238<BR>\n" );
document.write( "4A/4 = 238/4<BR>\n" );
document.write( "A=238/4 <BR>\n" );
document.write( "Oops, the results of 238 divided by 4 is not an integer, as you assumed at the beginning. There is no solution. <BR>\n" );
document.write( "A quick check: (59,60,61,62) sum to 242 and (60,61,62,63) sum to 246.<BR>\n" );
document.write( "No solution.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );