document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=786274>Question 786274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a woman is three times as old as her daughter was at the time when the mother was twice as old as her daughter will be two years from now.  find the current age of each if the sum of their ages is 55 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477859 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=477859\">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=+m+ ALIGN=MIDDLE  ALT=\"+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = mother's age now<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = daughter's age now<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+%2B+2+ ALIGN=MIDDLE  ALT=\"+d+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = daughter's age <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yrs from now<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+d+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28+d+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = twice daughter's age <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yrs from now<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+%2B+d+=+55+ ALIGN=MIDDLE  ALT=\"+m+%2B+d+=+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-d+=+m+-+55+ ALIGN=MIDDLE  ALT=\"+-d+=+m+-+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+-+d+=+m+%2B+m+-+55+ ALIGN=MIDDLE  ALT=\"+m+-+d+=+m+%2B+m+-+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+-+d+=+2m+-+55+ ALIGN=MIDDLE  ALT=\"+m+-+d+=+2m+-+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The difference in their ages will always be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+55+ ALIGN=MIDDLE  ALT=\"+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yrs<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "When the mother was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+d+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28+d+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the daughter<BR>\n" );
document.write( "was  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+d+%2B+2+%29+-+%28+2m+-+55+%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28+d+%2B+2+%29+-+%28+2m+-+55+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "also given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+3%2A%28+2%2A%28+d%2B2+%29+-+%28+2m+-+55+%29+%29+ ALIGN=MIDDLE  ALT=\"+m+=+3%2A%28+2%2A%28+d%2B2+%29+-+%28+2m+-+55+%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=+m+=+3%2A%28+2d+%2B+4+-+2m+%2B+55+%29+ ALIGN=MIDDLE  ALT=\"+m+=+3%2A%28+2d+%2B+4+-+2m+%2B+55+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+3%2A%28+2d+-+2m+%2B+59+%29+ ALIGN=MIDDLE  ALT=\"+m+=+3%2A%28+2d+-+2m+%2B+59+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+6d+-+6m+%2B+177+ ALIGN=MIDDLE  ALT=\"+m+=+6d+-+6m+%2B+177+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7m+=+6d+%2B+177+ ALIGN=MIDDLE  ALT=\"+7m+=+6d+%2B+177+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+%2B+d+=+55+ ALIGN=MIDDLE  ALT=\"+m+%2B+d+=+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7m+=+6%2A%28+55+-+m+%29+%2B+177+ ALIGN=MIDDLE  ALT=\"+7m+=+6%2A%28+55+-+m+%29+%2B+177+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7m+=+330+-+6m+%2B+177+ ALIGN=MIDDLE  ALT=\"+7m+=+330+-+6m+%2B+177+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13m+=+507+ ALIGN=MIDDLE  ALT=\"+13m+=+507+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+39+ ALIGN=MIDDLE  ALT=\"+m+=+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=+d+=+55+-+m+ ALIGN=MIDDLE  ALT=\"+d+=+55+-+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+16+ ALIGN=MIDDLE  ALT=\"+d+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The woman is 39 and the daughter is 16<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "2 yrs from now, daughter is 18<BR>\n" );
document.write( "twice that is 36<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "When the mother was 36, daughter was 13<BR>\n" );
document.write( "Three time 13 is 39<BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );