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 #57907 by </B><A HREF=/tutors/aboutme.mpl?userid=dolly><B>dolly(163)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dolly><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=57907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let one even number be x<BR>\n" );
document.write( "so the next even number = x+2<BR>\n" );
document.write( "So (x+2)^2 - x^2 = 52<BR>\n" );
document.write( "==> x^2 + 4x + 4 - x^2 = 52<BR>\n" );
document.write( "==> 4x + 4 = 52<BR>\n" );
document.write( "==> 4x = 52 - 4<BR>\n" );
document.write( "==> 4x = 48<BR>\n" );
document.write( "==> x = 48/4<BR>\n" );
document.write( "==> x = 12<BR>\n" );
document.write( "So the larger even number = x+2<BR>\n" );
document.write( "                          = 14 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );