document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147671>Question 147671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man and his brother have a combined age of 164 years. 46 years ago, the man was 7 times as old as his brother. How old is the man? How old is the brother? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108041 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=108041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Man's age is M.<BR>\n" );
document.write( "Brother's age is B.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M%2BB=164 ALIGN=MIDDLE  ALT=\"M%2BB=164\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "46 years ago the man's age was M-46.<BR>\n" );
document.write( "46 years ago his brother age was B-46.<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M-46=7%28B-46%29 ALIGN=MIDDLE  ALT=\"M-46=7%28B-46%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can use eq. 1 to solve for M in terms of B.<BR>\n" );
document.write( "Then substitute this into eq. 2.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M%2BB=164 ALIGN=MIDDLE  ALT=\"M%2BB=164\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=164-B ALIGN=MIDDLE  ALT=\"M=164-B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute. <BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M-46=7%28B-46%29 ALIGN=MIDDLE  ALT=\"M-46=7%28B-46%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28164-B%29-46=7%28B-46%29 ALIGN=MIDDLE  ALT=\"%28164-B%29-46=7%28B-46%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=118-B=7B-322 ALIGN=MIDDLE  ALT=\"118-B=7B-322\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8B=-440 ALIGN=MIDDLE  ALT=\"-8B=-440\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=55 ALIGN=MIDDLE  ALT=\"B=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then from eq. 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=164-B ALIGN=MIDDLE  ALT=\"M=164-B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=164-55 ALIGN=MIDDLE  ALT=\"M=164-55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=109 ALIGN=MIDDLE  ALT=\"M=109\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The man is 109 years old and his brother is 55. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );