document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005659>Question 1005659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me answer this problem:<BR>\n" );
document.write( "the sum of two consecutive odd integers is greater than 57. Find the pair with the least sum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621838 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=621838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of two consecutive odd integers is greater than 57. Find the pair with the least sum.<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Since they're consecutive, they'll be near 57/2 = 28.5<BR>\n" );
document.write( "27 + 29 = 56 NG<BR>\n" );
document.write( "29 + 31 = 60 works<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The hard way:<BR>\n" );
document.write( "n + n+2 > 57<BR>\n" );
document.write( "2n > 55<BR>\n" );
document.write( "n > 28.5<BR>\n" );
document.write( "--> n = 29<BR>\n" );
document.write( "--> 29 & 31<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );