document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526691>Question 526691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> THIS YEAR MARY'S AGE IS ONE SIXTH OF HER MOTHER. NEXT YEAR MARY'S AGE IS ONE FIFTH OF HER MOTHER.  IN HOW MANY YEARS WILL MARY'S AGR BE ONE THIRD OF HER MOTHER? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348649 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=348649\">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;\" > = Mary's age now<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+1+ ALIGN=MIDDLE  ALT=\"+a+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Mary's age next year<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;\" > = Mary's Mother's age now<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+%2B+1+ ALIGN=MIDDLE  ALT=\"+b+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Mary's Mother's age next year<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%281%2F6%29%2Ab+ ALIGN=MIDDLE  ALT=\"+a+=+%281%2F6%29%2Ab+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+1+=+%281%2F5%29%2A%28+b+%2B+1+%29+ ALIGN=MIDDLE  ALT=\"+a+%2B+1+=+%281%2F5%29%2A%28+b+%2B+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+6a+ ALIGN=MIDDLE  ALT=\"+b+=+6a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A%28+a+%2B+1+%29+=+b+%2B+1+ ALIGN=MIDDLE  ALT=\"+5%2A%28+a+%2B+1+%29+=+b+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+5+=+b+%2B+1+ ALIGN=MIDDLE  ALT=\"+5a+%2B+5+=+b+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+5a+=+4+ ALIGN=MIDDLE  ALT=\"+b+-+5a+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6a+-+5a+=+4+ ALIGN=MIDDLE  ALT=\"+6a+-+5a+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+4+ ALIGN=MIDDLE  ALT=\"+a+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+6a+ ALIGN=MIDDLE  ALT=\"+b+=+6a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+6%2A4+ ALIGN=MIDDLE  ALT=\"+b+=+6%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+24+ ALIGN=MIDDLE  ALT=\"+b+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Mary is 4 now, and her Mother is 24<BR>\n" );
document.write( "Let <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 number of years from now when<BR>\n" );
document.write( "Mary's age will be 1/3 of her mother's<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+y+=+%281%2F3%29%2A%28+b+%2B+y+%29+ ALIGN=MIDDLE  ALT=\"+a+%2B+y+=+%281%2F3%29%2A%28+b+%2B+y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+%2B+y+=+%281%2F3%29%2A%2824+%2B+y+%29+ ALIGN=MIDDLE  ALT=\"+4+%2B+y+=+%281%2F3%29%2A%2824+%2B+y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28+4+%2B+y+%29+=+24+%2B+y+ ALIGN=MIDDLE  ALT=\"+3%2A%28+4+%2B+y+%29+=+24+%2B+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+%2B+3y+=+24+%2B+y+ ALIGN=MIDDLE  ALT=\"+12+%2B+3y+=+24+%2B+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y+-+y+=+24+-+12+ ALIGN=MIDDLE  ALT=\"+3y+-+y+=+24+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+12+ ALIGN=MIDDLE  ALT=\"+2y+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+ ALIGN=MIDDLE  ALT=\"+y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In 6 years, Mary's age will be 1/3 her Mother's<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "In 6 years, Mary will be 10<BR>\n" );
document.write( "In 6 years Mother will be 30<BR>\n" );
document.write( "Mary will be  1/3 her Mother's age </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );