document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698308>Question 698308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me to solve this age problem:\r<BR>\n" );
document.write( "\n" );
document.write( "Alice is 8/3 as old as her daughter in 4 years. Alice will be 9/4 as old as her daughter find their ages? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430752 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem should be<BR>\n" );
document.write( "“Alice is 8/3 as old as her daughter.<BR>\n" );
document.write( "In 4 years, Alice will be 9/4 as old as her daughter.<BR>\n" );
document.write( "Find their ages”<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Alice's age<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the daughter's age<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%288%2F3%29y ALIGN=MIDDLE  ALT=\"x=%288%2F3%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" > because Alice is 8/3 as old as her daughter.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%288%2F3%29y ALIGN=MIDDLE  ALT=\"x=%288%2F3%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=8y ALIGN=MIDDLE  ALT=\"3x=8y\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-8y=0 ALIGN=MIDDLE  ALT=\"3x-8y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In 4 years, Alice will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4 ALIGN=MIDDLE  ALT=\"x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "her daughter will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B4 ALIGN=MIDDLE  ALT=\"y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and their ages will be related by the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4=%289%2F4%29%28y%2B4%29 ALIGN=MIDDLE  ALT=\"x%2B4=%289%2F4%29%28y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%2B4%29=9%28y%2B4%29 ALIGN=MIDDLE  ALT=\"4%28x%2B4%29=9%28y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B16=9y%2B36 ALIGN=MIDDLE  ALT=\"4x%2B16=9y%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-9y=36-16 ALIGN=MIDDLE  ALT=\"4x-9y=36-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-9y=20 ALIGN=MIDDLE  ALT=\"4x-9y=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "We get the system<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x-8y=0%2C4x-9y=20%29 ALIGN=MIDDLE  ALT=\"system%283x-8y=0%2C4x-9y=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying the first equation times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29 ALIGN=MIDDLE  ALT=\"%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the second times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-12x%2B32y=0%2C12x-27y=60%29 ALIGN=MIDDLE  ALT=\"system%28-12x%2B32y=0%2C12x-27y=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and adding both equations we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=60 ALIGN=MIDDLE  ALT=\"5y=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=60%2F5 ALIGN=MIDDLE  ALT=\"y=60%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=12%29 ALIGN=MIDDLE  ALT=\"highlight%28y=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=8y ALIGN=MIDDLE  ALT=\"3x=8y\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=8%2A12 ALIGN=MIDDLE  ALT=\"3x=8%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=96 ALIGN=MIDDLE  ALT=\"3x=96\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=96%2F3 ALIGN=MIDDLE  ALT=\"x=96%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=32%29 ALIGN=MIDDLE  ALT=\"highlight%28x=32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );