document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829516>Question 829516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three consecutive numbers is 27 and the sum of their square is 293. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499948 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499948\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x the first no<BR>\n" );
document.write( "x + 1 the second number<BR>\n" );
document.write( "x + 3 the third number<BR>\n" );
document.write( "(x)+(x+1)+(x+2)=27<BR>\n" );
document.write( "Let's see if there is a unique solution.<BR>\n" );
document.write( "3x + 3 = 27<BR>\n" );
document.write( "subtract 3 from each side<BR>\n" );
document.write( "3x = 24<BR>\n" );
document.write( "x = 8<BR>\n" );
document.write( "so the numbers are 8,9,10<BR>\n" );
document.write( "It could be that the sum of their squares is 293<BR>\n" );
document.write( "64 + 91 + 100 ?= 293<BR>\n" );
document.write( "For this problem there appears to be no solution<BR>\n" );
document.write( "since we cannot satisfy both requirements. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );