document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971814>Question 971814</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with Age and Quotient- Remainder word problems.\r<BR>\n" );
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document.write( "Here is my question:\r<BR>\n" );
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document.write( "A girl is now one-third as old as her mother, and in three years she will be two-fifths as old as her mother is then. 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 #594198 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=594198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A girl is now one-third as old as her mother, and in three years she will be two-fifths as old as her mother is then. Find their present ages. <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "g = (1/3)m<BR>\n" );
document.write( "g+3 = (2/5)(m+3)<BR>\n" );
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document.write( "Substitute for \"g\" and solve for \"m\"::<BR>\n" );
document.write( "(1/3)m + 3 = (2/5)m + 6/5<BR>\n" );
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document.write( "Multiply thru by 15 to get rid of the denominators:<BR>\n" );
document.write( "5m + 45 = 6m + 18<BR>\n" );
document.write( "m = 27 (mom's age now)<BR>\n" );
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document.write( "Solve for \"g\"::<BR>\n" );
document.write( "g = (1/3)m<BR>\n" );
document.write( "g = (1/3)27 = 9 (girl's age now)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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