document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194528>Question 1194528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there! I'm having trouble with this question, and I think it's just that I'm doubting the answer that I've gotten.\r<BR>\n" );
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document.write( "The question is:\r<BR>\n" );
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document.write( "A man is currently six times older than his granddaughter. Thirteen years ago, he was 18 times older than her. What are their current ages?\r<BR>\n" );
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document.write( "I set the problem out as such:\r<BR>\n" );
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document.write( "Let x = granddaughters age<BR>\n" );
document.write( "Let y = mans age\r<BR>\n" );
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document.write( "so,\r<BR>\n" );
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document.write( "6x = y --------- (1)<BR>\n" );
document.write( "y - 13 = 18(x - 13) --------- (2)\r<BR>\n" );
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document.write( "substituting (1) into (2):\r<BR>\n" );
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document.write( "6x - 13 = 18(x - 13)<BR>\n" );
document.write( "12x = 221<BR>\n" );
document.write( "x = 18.41666667 \r<BR>\n" );
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document.write( "substituting this into (1)\r<BR>\n" );
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document.write( "6(18.41666667) = 110.5\r<BR>\n" );
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document.write( "so the mans age is 110.5, and the granddaughters age is 18.4666667\r<BR>\n" );
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document.write( "checking this:\r<BR>\n" );
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document.write( "thirteen years ago:\r<BR>\n" );
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document.write( "110.5 - 13 = 97.5\r<BR>\n" );
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document.write( "18.41666667 - 13 = 5.41666667\r<BR>\n" );
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document.write( "18(5.41666667) = 97.5\r<BR>\n" );
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document.write( "So the numbers check out, but only if you include all decimal points.\r<BR>\n" );
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document.write( "It seems like an incredibly dissatisfying answer!! Not to mention decimals such as this are difficult to translate into months of a year. Also, that man is INCREDIBLY old! I just can't shake the feeling that I've worked it out wrong.\r<BR>\n" );
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document.write( "even when shortening to 6(18.4) = 110.4\r<BR>\n" );
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document.write( "then 18(5.4) = 97.2 (which is only approximately 18 times their age)\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "or 6(18.42) = 110.52\r<BR>\n" );
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document.write( "then 18(5.52) = 97.56 (which is again only approximately 18 times her age)\r<BR>\n" );
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document.write( "Have I worked this question out incorrectly?? It seems unreasonable to have to keep so many decimal places, especially with a question of this type.\r<BR>\n" );
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document.write( "I would appreciate it if you can point out any flaws in my calculations, or your advice.\r<BR>\n" );
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document.write( "Thank you!\r<BR>\n" );
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document.write( "   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826743 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39616)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=826743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, granddaughter<BR>\n" );
document.write( "y, man\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B6x=7x ALIGN=MIDDLE  ALT=\"y=x%2B6x=7x\"   DISABLED_style= \"max-width:90%; height:auto;\" >------exactly according to description\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-13=%28x-13%29%2B18%28x-13%29 ALIGN=MIDDLE  ALT=\"7x-13=%28x-13%29%2B18%28x-13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------exactly according to description\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-13=19%28x-13%29 ALIGN=MIDDLE  ALT=\"7x-13=19%28x-13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-13=19x-247 ALIGN=MIDDLE  ALT=\"7x-13=19x-247\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-13%2B247=12x ALIGN=MIDDLE  ALT=\"-13%2B247=12x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=234=12x ALIGN=MIDDLE  ALT=\"234=12x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=234%2F12 ALIGN=MIDDLE  ALT=\"x=234%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=19.5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=19.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------------grand daughter is 19 years 6 months of age.\r<BR>\n" );
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document.write( "The man is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=136%261%2F2 ALIGN=MIDDLE  ALT=\"136%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > years old. </SPAN>\n" );
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