document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168745>Question 1168745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sherry is half as old as her mother. Twelve years ago, she was one third of her mother’s age. Find their ages<BR>\n" );
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document.write( "CAN YOU ALSO PLEASE USE THE GUESS MEHTOD\r<BR>\n" );
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document.write( "THANK YOU </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793357 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=793357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> guess method.<BR>\n" );
document.write( "given<BR>\n" );
document.write( "unknowns<BR>\n" );
document.write( "equations<BR>\n" );
document.write( "setup<BR>\n" );
document.write( "solve\r<BR>\n" );
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document.write( "given:<BR>\n" );
document.write( "sherry is half as old as her mother.<BR>\n" );
document.write( "twelve years ago, she was one third the age of her mother.<BR>\n" );
document.write( "unknown:<BR>\n" );
document.write( "what are both their ages now?<BR>\n" );
document.write( "equations:<BR>\n" );
document.write( "let s = sherry's age now.<BR>\n" );
document.write( "let m = her mother's age now.<BR>\n" );
document.write( "today she is half as old as her mother.<BR>\n" );
document.write( "s = 1/2 * m<BR>\n" );
document.write( "twelve years ago, she was one third the age of her mother.<BR>\n" );
document.write( "s - 12 = 1/3 * (m - 12)<BR>\n" );
document.write( "setup:<BR>\n" );
document.write( "these are two equations that need to be solved simultaneously<BR>\n" );
document.write( "they are:<BR>\n" );
document.write( "s = 1/2 * m<BR>\n" );
document.write( "s - 12 = 1/3 * (m - 12)<BR>\n" );
document.write( "solve:<BR>\n" );
document.write( "in the second equation, replace s with 1/2 * m from the first equation to get:<BR>\n" );
document.write( "1/2 * m - 12 = 1/3 * (m - 12)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "1/2 * m - 12 = 1/3 * m - 4<BR>\n" );
document.write( "add 12 to both sides of the equation and subtract 1/3 * m from both sides of the equation to get:<BR>\n" );
document.write( "1/2 * m - 1/3 * m = -4 + 12<BR>\n" );
document.write( "put everything on the left hand side of the equation under a common denominator to get:<BR>\n" );
document.write( "3/6 * m - 2/6 * m = -4 + 12<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "1/6 * m = 8<BR>\n" );
document.write( "solve for m to get:<BR>\n" );
document.write( "m = 8 * 6/1 = 48<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "sherry is 24 years old now and her mother is 48 years old now.<BR>\n" );
document.write( "confirmation:<BR>\n" );
document.write( "sherry is now 1/2 the age of her mother (24/48 = 1/2)<BR>\n" );
document.write( "12 years ago, sherry was 12 and her mother was 36.<BR>\n" );
document.write( "sherry was 1/3 the ages of her mother 12 years ago (12/36 = 1/3)\r<BR>\n" );
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