document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020390>Question 1020390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anna made the following announcement:<BR>\n" );
document.write( "\"In 7 years, i will be half my mothers age. Thirteen years ago, she was 6 times as old as i was then.\" <BR>\n" );
document.write( "How old is Anna? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636284 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=636284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Anna'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;\" >= Anna's mother's age\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B7 ALIGN=MIDDLE  ALT=\"y%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Anna's mother's age in 7 years<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B7 ALIGN=MIDDLE  ALT=\"x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Anna's age in 7 years<BR>\n" );
document.write( "We know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B7=%281%2F2%29%28y%2B7%29 ALIGN=MIDDLE  ALT=\"x%2B7=%281%2F2%29%28y%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because Anna said<BR>\n" );
document.write( "\"In 7 years, i will be half my mothers age.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B7=%281%2F2%29%28y%2B7%29 ALIGN=MIDDLE  ALT=\"x%2B7=%281%2F2%29%28y%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%2B7%29=y%2B7 ALIGN=MIDDLE  ALT=\"2%28x%2B7%29=y%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B14=y%2B7 ALIGN=MIDDLE  ALT=\"2x%2B14=y%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B7=y ALIGN=MIDDLE  ALT=\"2x%2B7=y\"   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=x-13 ALIGN=MIDDLE  ALT=\"x-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Anna's age thirteen years ago<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-13=2x%2B7-13=2x-6 ALIGN=MIDDLE  ALT=\"y-13=2x%2B7-13=2x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Anna's mother's age thirteen years ago<BR>\n" );
document.write( "We know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28x-13%29=2x-6 ALIGN=MIDDLE  ALT=\"6%28x-13%29=2x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > because Anna said of her mother<BR>\n" );
document.write( "\"Thirteen years ago, she was 6 times as old as i was then.\"<BR>\n" );
document.write( " <BR>\n" );
document.write( "So we solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28x-13%29=2x-6 ALIGN=MIDDLE  ALT=\"6%28x-13%29=2x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28x-13%29=2x-6 ALIGN=MIDDLE  ALT=\"6%28x-13%29=2x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-78=2x-6 ALIGN=MIDDLE  ALT=\"6x-78=2x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-2x=78-6 ALIGN=MIDDLE  ALT=\"6x-2x=78-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=72 ALIGN=MIDDLE  ALT=\"4x=72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=72%2F4 ALIGN=MIDDLE  ALT=\"x=72%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=18%29 ALIGN=MIDDLE  ALT=\"highlight%28x=18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Anna is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2818%29 ALIGN=MIDDLE  ALT=\"highlight%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > years old.<BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTE/CHECKING:<BR>\n" );
document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > years Anna will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2B7=25 ALIGN=MIDDLE  ALT=\"18%2B7=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > and her mother will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A25=50 ALIGN=MIDDLE  ALT=\"2%2A25=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "They are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50-25=25 ALIGN=MIDDLE  ALT=\"50-25=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > years apart,<BR>\n" );
document.write( "so right now Anna's mother's age is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2B25=43 ALIGN=MIDDLE  ALT=\"18%2B25=43\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Thirteen years ago, Anna's age was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18-13=5 ALIGN=MIDDLE  ALT=\"18-13=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and her mother's age was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=43-13=30 ALIGN=MIDDLE  ALT=\"43-13=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );