document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905704>Question 905704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ali is 12 years younger than Mana. The sum of their ages is 80. How old is Mana? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549330 by </B><A HREF=/tutors/aboutme.mpl?userid=tutoringisfun><B>tutoringisfun(17)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutoringisfun><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=tutoringisfun><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=549330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Good evening student! I hope this is helpful to you today. <BR>\n" );
document.write( "First we need to label each variable<BR>\n" );
document.write( "A=age of Ani M= age of Mana\r<BR>\n" );
document.write( "\n" );
document.write( "from the problem we can deduce that A+M=80 and that A=M-12. We need to solve for either A or M. Since, A=M-12 was already given to me in the problem, I am going to use that for A. Next I substitute A=M-12 into the equation A+M=80<BR>\n" );
document.write( "This gives the following:<BR>\n" );
document.write( "M-12+M=80<BR>\n" );
document.write( "to solve for M combine like terms and subtract 12 from each side, because we want M by itself. <BR>\n" );
document.write( "2M=80+12\r<BR>\n" );
document.write( "\n" );
document.write( "which can be rewritten as 2M=92<BR>\n" );
document.write( "now to get X by itself we divide both sides by 2\r<BR>\n" );
document.write( "\n" );
document.write( "2M/2=92/2 the two's on the left cancel out which gives us the following:<BR>\n" );
document.write( "M=92/2<BR>\n" );
document.write( "M=46\r<BR>\n" );
document.write( "\n" );
document.write( "to calculate Ani's age we subtract 12 from 46 like so:<BR>\n" );
document.write( "46-12=34. Therefore Ani is 34. We can check the answer by adding the two ages together. 46+34=80<BR>\n" );
document.write( "I hope this has been helpful to you. If you desire long term assistance or need more help please contact me mbarre1@wgu.edu or visit my facebook page https://www.facebook.com/tutoringinquiry, or message me on instaedu.com\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );