document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=399504>Question 399504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The square of Janet's age is 400 more than the square of the sum of Kim's and Sue's ages. Kims's and Sue's ages total 10 less than Janet's age. Find the square of the sum of the ages of Janet, Kim and Sue. Explain your reasoning. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #282915 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=282915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=sum of the ages of Kim and Sue, j=age of Janet.<BR>\n" );
document.write( "j^2=x^2+400<BR>\n" );
document.write( "j=x+10<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(x+10)^2=x^2+400 Substitute x+10 fo j.<BR>\n" );
document.write( "x^2+20x+100=x^2+400<BR>\n" );
document.write( "20x=300<BR>\n" );
document.write( "x=15<BR>\n" );
document.write( "j=25<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(25+15)^2<BR>\n" );
document.write( "=40^2<BR>\n" );
document.write( "=1600 the square of the sum of the ages of Janet, Kim and Sue. <BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );