document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134417>Question 134417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My problem :  At a recent birthday party for a friend of mine, I pointed out the following to my friend: Thirteen years ago, you  were half as old as you will be five years from now. What was my friend's age?<BR>\n" );
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document.write( "I have no work to show on this one because the sample(below) shows that Im doing formula all wrong....Please help me see where I am going wrong. Its been  a while and Im obviously close but too rusty :P\r<BR>\n" );
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document.write( "  SAMPLE: At a recent birthday party for a friend of mine, I pointed out the following to my friend: Eighty-eight years ago, you were one-third as old as you will be six years from now.<BR>\n" );
document.write( "   My answer: 123  correct answer was 135 <BR>\n" );
document.write( "Sample problem solutions 88+6=94/3=31+94=125 or 88/3=29+88+6=123\r<BR>\n" );
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document.write( "Thank you really for taking the time having done tutoring myself I appreciate what you guys are doing here. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98312 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=98312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f=age of friend\r<BR>\n" );
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document.write( "The phrase \"13 years ago\" can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f-13 ALIGN=MIDDLE  ALT=\"f-13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the phrase \"five years from now\" can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2B5 ALIGN=MIDDLE  ALT=\"f%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now since \"Thirteen years ago, you were half as old as you will be five years from now\", this means that we simply take half of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2B5 ALIGN=MIDDLE  ALT=\"f%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%28f%2B5%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28f%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now set the two expressions <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f-13 ALIGN=MIDDLE  ALT=\"f-13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%28f%2B5%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28f%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal to each other\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f-13=%281%2F2%29%28f%2B5%29 ALIGN=MIDDLE  ALT=\"f-13=%281%2F2%29%28f%2B5%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=%282%29%28f-13%29=cross%282%29%28%281%2Fcross%282%29%29%28f%2B5%29%29 ALIGN=MIDDLE  ALT=\"%282%29%28f-13%29=cross%282%29%28%281%2Fcross%282%29%29%28f%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by  2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2f-26=f%2B5 ALIGN=MIDDLE  ALT=\"2f-26=f%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2f=f%2B5%2B26 ALIGN=MIDDLE  ALT=\"2f=f%2B5%2B26\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add 26 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2f-f=5%2B26 ALIGN=MIDDLE  ALT=\"2f-f=5%2B26\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract f from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=5%2B26 ALIGN=MIDDLE  ALT=\"f=5%2B26\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=31 ALIGN=MIDDLE  ALT=\"f=31\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=31 ALIGN=MIDDLE  ALT=\"f=31\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "This means that the friend is 31 years old\r<BR>\n" );
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document.write( "Notice how if we subtract 13 from 31 we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31-13=18 ALIGN=MIDDLE  ALT=\"31-13=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So 13 years ago s/he was 18\r<BR>\n" );
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document.write( "Now add 5 to 31 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31%2B5=36 ALIGN=MIDDLE  ALT=\"31%2B5=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And we can see that 18 is half of 36\r<BR>\n" );
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document.write( "So we can see that our answer is correct.\r<BR>\n" );
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