document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763091>Question 763091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5 years ago Lakshmi's mother was five timers her age.If her mother is now thrice as old as her, find their present ages? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464585 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let Lakshmi's age be x years<BR>\n" );
document.write( "Let her mother's age be y years.\r<BR>\n" );
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document.write( "Given: Mother is currently 3 times as old as Lakshmi.\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3%2Ax ALIGN=MIDDLE  ALT=\"y+=+3%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ 1\r<BR>\n" );
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document.write( "Also given: 5 years ago, mother was 5 times as old as Lakshmi\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%28x-5%29+=+y-5 ALIGN=MIDDLE  ALT=\"5%2A%28x-5%29+=+y-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    or 5*x - 25 = y-5<BR>\n" );
document.write( "    or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ax-y+=+20 ALIGN=MIDDLE  ALT=\"5%2Ax-y+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------- 2\r<BR>\n" );
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document.write( "Substituting y = 3x in eqn. 2, we get:\r<BR>\n" );
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document.write( "5*x - 3*x = 20 or 2*x = 20\r<BR>\n" );
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document.write( "So, x = 10 years and y = 3*x = 30 years.\r<BR>\n" );
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document.write( "So, Lakshmi's present age = 10 years<BR>\n" );
document.write( "Her mother's present age = 30 years.    \r<BR>\n" );
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document.write( ":) </SPAN>\n" );
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