document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=517121>Question 517121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the ages of a mother and daughter is 5 : 1<BR>\n" );
document.write( "The mother is 30 years old at present.<BR>\n" );
document.write( "In how many years will the age ratio be 3 : 1? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344854 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let<BR>\n" );
document.write( "Present age of daughters = d<BR>\n" );
document.write( "Present age of mothers age = m\r<BR>\n" );
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document.write( "The ratio of the ages of a mother and daughter is 5 : 1<BR>\n" );
document.write( "m:d=5:1<BR>\n" );
document.write( "m/d=5<BR>\n" );
document.write( "m=5d<BR>\n" );
document.write( "We have been told the mother is 30 years old<BR>\n" );
document.write( "30=5d<BR>\n" );
document.write( "30/5=d<BR>\n" );
document.write( "6=d<BR>\n" );
document.write( "Daughter's age = 6 years old\r<BR>\n" );
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document.write( "Suppose it takes x years to change the ratio from 5:1 to 3:1<BR>\n" );
document.write( "In x years<BR>\n" );
document.write( "Mother's age = 30+x<BR>\n" );
document.write( "Daughter's age = 6+x<BR>\n" );
document.write( "(30+x):(6+x)=3:1<BR>\n" );
document.write( "(30+x)/(6+x)=3/1<BR>\n" );
document.write( "(30+x)=3(6+x)<BR>\n" );
document.write( "30+x=18+3x<BR>\n" );
document.write( "30-18=3x-x<BR>\n" );
document.write( "12=2x<BR>\n" );
document.write( "12/2=x<BR>\n" );
document.write( "6=x<BR>\n" );
document.write( "x=6\r<BR>\n" );
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document.write( "In 6 years ratio between mother and daughter's will be 3:1\r<BR>\n" );
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document.write( "Check<BR>\n" );
document.write( "30+6/6+6=3/1<BR>\n" );
document.write( "36/12=3/1<BR>\n" );
document.write( "3/1=3/1 </SPAN>\n" );
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