document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26705>Question 26705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of the squares of two consecutivee odd positive integers is 40. find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14915 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=14915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> any positive integer be x<BR>\n" );
document.write( "even integer would be 2x<BR>\n" );
document.write( "odd integer would be 2x+1<BR>\n" );
document.write( "next odd integer would be 2x+1+2=2x+3<BR>\n" );
document.write( "so difference in squares of these 2 numbers is 40 <BR>\n" );
document.write( "40= (2x+3)^2-(2x+1)^2=(2x+3+2x+1)(2x+3-2x-1)=(4x+4)2=8(x+1)<BR>\n" );
document.write( "so x+1=40/8=5<BR>\n" );
document.write( "x=5-1=4<BR>\n" );
document.write( "so the 2 odd numbers are <BR>\n" );
document.write( "2*4+1=9 and 9+2=11<BR>\n" );
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