document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712166>Question 712166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A+B=45 & 1/A + 1/B=1/10 then find A & B </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437773 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=437773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If A+B=45 & 1/A + 1/B=1/10 then find A & B<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Solve for B:<BR>\n" );
document.write( "A+B=45<BR>\n" );
document.write( "B=45-A<BR>\n" );
document.write( "Substitute above into:<BR>\n" );
document.write( "1/A + 1/B=1/10<BR>\n" );
document.write( "1/A + 1/(45-A) = 1/10<BR>\n" );
document.write( "multiply both sides by LCD of 10A(45-A):<BR>\n" );
document.write( "10(45-A) + 10A = A(45-A)<BR>\n" );
document.write( "450-10A + 10A = 45A-A^2<BR>\n" );
document.write( "450 = 45A-A^2<BR>\n" );
document.write( "A^2+450 = 45A<BR>\n" );
document.write( "A^2-45A+450 = 0<BR>\n" );
document.write( "(A-30)(A-15) = 0<BR>\n" );
document.write( "A = {15, 30}<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since B=45-A<BR>\n" );
document.write( "B = {30, 15}<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "(A,B) = (15, 30)<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "(A,B) = (30, 15)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );