document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010767>Question 1010767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Frank noticed that right now his dad, Peter, is five times older than his age. Last year, Frank's age was half that of his brother, John. Nine years from now, Peter will be twice as old as John. What is the sum of the current ages of Frank, John, and Peter?\r<BR>\n" );
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document.write( "So far, I figured that<BR>\n" );
document.write( "Peter = 5(frank)<BR>\n" );
document.write( "Frank = 1/2(john)+1<BR>\n" );
document.write( "John = 2(peter)-9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626258 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=626258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Frank noticed that right now his dad, Peter, is five times older than his age.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Peter+=+5%28frank%29 ALIGN=MIDDLE  ALT=\"Peter+=+5%28frank%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.1\r<BR>\n" );
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document.write( "Last year (means current age minus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >), Frank's age was half that of his brother, John. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Frank-1+=+%281%2F2%29%28john-1%29 ALIGN=MIDDLE  ALT=\"Frank-1+=+%281%2F2%29%28john-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Frank+=+%281%2F2%29%28john-1%29%2B1 ALIGN=MIDDLE  ALT=\"Frank+=+%281%2F2%29%28john-1%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Frank+=+%281%2F2%29john-1%2F2%2B1 ALIGN=MIDDLE  ALT=\"Frank+=+%281%2F2%29john-1%2F2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Frank+=+%281%2F2%29john%2B1%2F2 ALIGN=MIDDLE  ALT=\"Frank+=+%281%2F2%29john%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eq.2\r<BR>\n" );
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document.write( "Nine years from now (means current age plus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Peter will be twice as old as John. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Peter%2B9+=2%28john%2B9%29 ALIGN=MIDDLE  ALT=\"Peter%2B9+=2%28john%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Peter=2%28john%2B9%29-9 ALIGN=MIDDLE  ALT=\"Peter=2%28john%2B9%29-9\"   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=Peter=2john%2B18-9 ALIGN=MIDDLE  ALT=\"Peter=2john%2B18-9\"   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=Peter=2john%2B9 ALIGN=MIDDLE  ALT=\"Peter=2john%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......eq.3\r<BR>\n" );
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document.write( "What is the sum of the current ages of Frank, John, and Peter?\r<BR>\n" );
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document.write( "from eq.1 and eq.3 we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5frank=2john%2B9 ALIGN=MIDDLE  ALT=\"+5frank=2john%2B9\"   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=+frank=%282%2F5%29john%2B9%2F5 ALIGN=MIDDLE  ALT=\"+frank=%282%2F5%29john%2B9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.4\r<BR>\n" );
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document.write( "from eq.2 and eq.4 we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29john%2B1%2F2=%282%2F5%29john%2B9%2F5 ALIGN=MIDDLE  ALT=\"+%281%2F2%29john%2B1%2F2=%282%2F5%29john%2B9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=john ALIGN=MIDDLE  ALT=\"john\"   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=+%28john%2B1%29%2F2=%282john%2B9%29%2F5 ALIGN=MIDDLE  ALT=\"+%28john%2B1%29%2F2=%282john%2B9%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%28john%2B1%29=2%282john%2B9%29 ALIGN=MIDDLE  ALT=\"+5%28john%2B1%29=2%282john%2B9%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=+5john%2B5=4john%2B18 ALIGN=MIDDLE  ALT=\"+5john%2B5=4john%2B18\"   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=+5john-4john=18-5 ALIGN=MIDDLE  ALT=\"+5john-4john=18-5\"   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%28john=13%29 ALIGN=MIDDLE  ALT=\"+highlight%28john=13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "go to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+frank=%282%2F5%29john%2B9%2F5 ALIGN=MIDDLE  ALT=\"+frank=%282%2F5%29john%2B9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.4, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13 ALIGN=MIDDLE  ALT=\"13\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=john ALIGN=MIDDLE  ALT=\"john\"   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=+frank=%282%2F5%2913%2B9%2F5 ALIGN=MIDDLE  ALT=\"+frank=%282%2F5%2913%2B9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+frank=%2826%2F5%29%2B9%2F5 ALIGN=MIDDLE  ALT=\"+frank=%2826%2F5%29%2B9%2F5\"   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=+frank=%2826%2B9%29%2F5 ALIGN=MIDDLE  ALT=\"+frank=%2826%2B9%29%2F5\"   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=+frank=35%2F5 ALIGN=MIDDLE  ALT=\"+frank=35%2F5\"   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%28frank=7%29 ALIGN=MIDDLE  ALT=\"+highlight%28frank=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "go to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Peter=2john%2B9 ALIGN=MIDDLE  ALT=\"Peter=2john%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......eq.3 , substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13 ALIGN=MIDDLE  ALT=\"13\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=john ALIGN=MIDDLE  ALT=\"john\"   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=Peter=2%2A13%2B9 ALIGN=MIDDLE  ALT=\"Peter=2%2A13%2B9\"   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%28Peter=35%29 ALIGN=MIDDLE  ALT=\"+highlight%28Peter=35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so,  the sum of the current ages of Frank, John, and Peter is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+frank%2Bjohn%2Bpeter=7%2B13%2B35=55 ALIGN=MIDDLE  ALT=\"+frank%2Bjohn%2Bpeter=7%2B13%2B35=55\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );