document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081119>Question 1081119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man is three times as old as (his son was at the time when [the father was twice as old as his son will be two years from now]). Find the present age of each person if the sum of their ages now is 55 years. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695212 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=695212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the man's age now<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the son's age now<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "I'll work backwards on this.<BR>\n" );
document.write( "\" his son will be two years from now\"<BR>\n" );
document.write( "His son will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+%2B+2+ ALIGN=MIDDLE  ALT=\"+b+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "\" when the father was twice as old as\"<BR>\n" );
document.write( "When the father was:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+b+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28+b+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "\"As old as his son was\"<BR>\n" );
document.write( "The difference in their ages will always be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+b+ ALIGN=MIDDLE  ALT=\"+a+-+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, at that time, the son's age was:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+b+%2B+2+%29+-+%28+a+-+b+%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28+b+%2B+2+%29+-+%28+a+-+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "\"The man is three times as\"<BR>\n" );
document.write( "That is talking about the present age of the man<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+3%2A%28+2%2A%28+b+%2B+2+%29+-+%28+a-+b+%29+%29+ ALIGN=MIDDLE  ALT=\"+a+=+3%2A%28+2%2A%28+b+%2B+2+%29+-+%28+a-+b+%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+3%2A%28+2b+%2B+4+-+a+%2B+b+%29+ ALIGN=MIDDLE  ALT=\"+a+=+3%2A%28+2b+%2B+4+-+a+%2B+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+3%2A%28+3b+-+a+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+a+=+3%2A%28+3b+-+a+%2B+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+9b+-+3a+%2B+12+ ALIGN=MIDDLE  ALT=\"+a+=+9b+-+3a+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4a+-+9b+=+12+ ALIGN=MIDDLE  ALT=\"+4a+-+9b+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Also given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+55+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of this equation by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and add the equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4a+-+9b+=+12+ ALIGN=MIDDLE  ALT=\"+4a+-+9b+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9a+%2B+9b+=+495+ ALIGN=MIDDLE  ALT=\"+9a+%2B+9b+=+495+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13a+=+507+ ALIGN=MIDDLE  ALT=\"+13a+=+507+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+39+ ALIGN=MIDDLE  ALT=\"+a+=+39+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+55+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+16+ ALIGN=MIDDLE  ALT=\"+b+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The man is 39<BR>\n" );
document.write( "The son is 16<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "\" his son will be two years from now\"<BR>\n" );
document.write( "His son will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+%2B+2+=+18+ ALIGN=MIDDLE  ALT=\"+b+%2B+2+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "\" when the father was twice as old as\"<BR>\n" );
document.write( "When the father was:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+b+%2B+2+%29+=+36+ ALIGN=MIDDLE  ALT=\"+2%2A%28+b+%2B+2+%29+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "\"As old as his son was\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+b+%2B+2+%29+-+%28+a+-+b+%29+=+36+-+%28+39-16%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28+b+%2B+2+%29+-+%28+a+-+b+%29+=+36+-+%28+39-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+b+%2B+2+%29+-+%28+a+-+b+%29+=+13+ ALIGN=MIDDLE  ALT=\"+2%2A%28+b+%2B+2+%29+-+%28+a+-+b+%29+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "The father is 3 times that age:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+3%2A13+ ALIGN=MIDDLE  ALT=\"+a+=+3%2A13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+39+ ALIGN=MIDDLE  ALT=\"+a+=+39+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );