document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182898>Question 1182898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of Kim's age to her daughter's age is 5 : 2. Four years ago, the ratio of their ages was 3 : 1. How old will Kim be in 6 years' time?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841147 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=841147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The other tutors have great answers.<BR>\n" );
document.write( "My method may not be as efficient, but it's another pathway at least.\r<BR>\n" );
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document.write( "Four years ago, the ratio of Kim's age to her daughter's age was 3:1<BR>\n" );
document.write( "Meaning that the mother was triple in age compared to the daughter <BR>\n" );
document.write( "(eg: mother = 30 and daughter = 10)\r<BR>\n" );
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document.write( "x = daughter's age four years ago<BR>\n" );
document.write( "3x = Kim's age four years ago\r<BR>\n" );
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document.write( "Let's fast-forward the calendar four years into the future. <BR>\n" );
document.write( "This is so we arrive at the present day ages<BR>\n" );
document.write( "x+4 = daughter's age now<BR>\n" );
document.write( "3x+4 = mother's age now\r<BR>\n" );
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document.write( "The ratio of these present day ages, mother to daughter, is 5:2<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "mothersAge/daughtersAge = 5/2<BR>\n" );
document.write( "(3x+4)/(x+4) = 5/2<BR>\n" );
document.write( "2(3x+4) = 5(x+4)<BR>\n" );
document.write( "6x+8 = 5x+20<BR>\n" );
document.write( "6x-5x = 20-8<BR>\n" );
document.write( "x = 12\r<BR>\n" );
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document.write( "The daughter was 12 years old 4 years ago.<BR>\n" );
document.write( "Therefore, she must be 12+4 = 16 years of age currently.\r<BR>\n" );
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document.write( "The mother was 3x = 3*12 = 36 years old 4 years ago. <BR>\n" );
document.write( "She is now 36+4 = 40 years old.\r<BR>\n" );
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document.write( "As a check,<BR>\n" );
document.write( "mothersAge/daughtersAge = 40/16 = (8*5)/(8*2) = 5/2, which lets us know we did things correctly.\r<BR>\n" );
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document.write( "The last thing to do is add 6 years onto Kim's current age to find how old she will be 6 years into the future.<BR>\n" );
document.write( "40+6 = 46\r<BR>\n" );
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document.write( "Answer: <font color=red>46 years old</font><BR>\n" );
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