document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36860>Question 36860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the difference of the squares of two consecutiveodd integersis 48.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 #22732 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=22732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the difference of the squares of two consecutiveodd integersis 48.find the integers<BR>\n" );
document.write( "LET THE 2 ODD INTEGERS BE 2N-1 AND 2N+1<BR>\n" );
document.write( "THE DIFFERENCE OF THEIR SQUARES =<BR>\n" );
document.write( "(2N+1)^2-(2N-1)^2=4*2N*1=8N=48....[USING THE FORMULA (A+B)^2-(A-B)^2=4AB]<BR>\n" );
document.write( "SO N=48/8=6<BR>\n" );
document.write( "HENCE THE 2 NUMBERS ARE 2*6-1=11 AND 2*6+1=13 </SPAN>\n" );
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