document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80744>Question 80744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 42: The difference between the square of one even number and the square of the next smaller even number is 52. What is the larger number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57909 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference between the square of one even number and the square of the next smaller even number is 52. What is the larger number ?<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Let the larger even number be 2(n+1)<BR>\n" );
document.write( "Let the smaller even number be 2n<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "(2n+2)^2 - (2n)^2 = 52\r<BR>\n" );
document.write( "\n" );
document.write( "(2n)^2+8n+4 - (2n)^2 = 52<BR>\n" );
document.write( "8n+4 = 52<BR>\n" );
document.write( "8n=48<BR>\n" );
document.write( "n=6<BR>\n" );
document.write( "2n=12 (the smaller even number)<BR>\n" );
document.write( "2n+2=14 (the larger even number)<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );