document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085934>Question 1085934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please explain how to tackle this problem?\r<BR>\n" );
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document.write( "The ratio of Jonathan’s age to David’s age is 6:5. In seven years it will be 7:6. What are their ages now.\r<BR>\n" );
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document.write( "Thanks in advance.\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 #700039 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=700039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of Jonathan’s age to David’s age is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%3A5 ALIGN=MIDDLE  ALT=\"6%3A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "let Jonathan’s age be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and David’s age <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3Ay=6%3A5 ALIGN=MIDDLE  ALT=\"x%3Ay=6%3A5\"   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=5x=6y ALIGN=MIDDLE  ALT=\"5x=6y\"   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=6y%2F5 ALIGN=MIDDLE  ALT=\"x=6y%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.1\r<BR>\n" );
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document.write( "In seven years it will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%3A6 ALIGN=MIDDLE  ALT=\"7%3A6\"   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=%28x%2B7%29%3A%28y%2B7%29=7%3A6 ALIGN=MIDDLE  ALT=\"%28x%2B7%29%3A%28y%2B7%29=7%3A6\"   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=6%28x%2B7%29=7%28y%2B7%29 ALIGN=MIDDLE  ALT=\"6%28x%2B7%29=7%28y%2B7%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=6x%2B42=7y%2B49 ALIGN=MIDDLE  ALT=\"6x%2B42=7y%2B49\"   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=6x=7y%2B49-42 ALIGN=MIDDLE  ALT=\"6x=7y%2B49-42\"   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=6x=7y%2B7 ALIGN=MIDDLE  ALT=\"6x=7y%2B7\"   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=7y%2F6%2B7%2F6 ALIGN=MIDDLE  ALT=\"x=7y%2F6%2B7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......eq2\r<BR>\n" );
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document.write( "from eq1 and eq2 we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y%2F5=7y%2F6%2B7%2F6 ALIGN=MIDDLE  ALT=\"6y%2F5=7y%2F6%2B7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >......solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=5%286y%2F5%29=5%287y%2F6%29%2B5%287%2F6%29 ALIGN=MIDDLE  ALT=\"5%286y%2F5%29=5%287y%2F6%29%2B5%287%2F6%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=6y=35y%2F6%2B35%2F6 ALIGN=MIDDLE  ALT=\"6y=35y%2F6%2B35%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >...both sides multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   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=36y=35y%2B35 ALIGN=MIDDLE  ALT=\"36y=35y%2B35\"   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=36y-35y=35 ALIGN=MIDDLE  ALT=\"36y-35y=35\"   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%28y=35%29 ALIGN=MIDDLE  ALT=\"highlight%28y=35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=6y%2F5 ALIGN=MIDDLE  ALT=\"x=6y%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%286%2A35%29%2F5 ALIGN=MIDDLE  ALT=\"x=%286%2A35%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >....simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%286%2Across%2835%297%29%2Fcross%285%291 ALIGN=MIDDLE  ALT=\"x=%286%2Across%2835%297%29%2Fcross%285%291\"   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=6%2A7 ALIGN=MIDDLE  ALT=\"x=6%2A7\"   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=42%29 ALIGN=MIDDLE  ALT=\"highlight%28x=42%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so,Jonathan’s age is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2842%29 ALIGN=MIDDLE  ALT=\"highlight%2842%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and David’s age is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2835%29 ALIGN=MIDDLE  ALT=\"highlight%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check the ratios:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3Ay=6%3A5 ALIGN=MIDDLE  ALT=\"x%3Ay=6%3A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%3A35=6%3A5 ALIGN=MIDDLE  ALT=\"42%3A35=6%3A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.2=1.2 ALIGN=MIDDLE  ALT=\"1.2=1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "in seven years Jonathan’s age will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2B7=49 ALIGN=MIDDLE  ALT=\"42%2B7=49\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and David’s age will be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%2B7=42 ALIGN=MIDDLE  ALT=\"35%2B7=42\"   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=49%3A42=7%3A6 ALIGN=MIDDLE  ALT=\"49%3A42=7%3A6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.166666666666667=1.166666666666667 ALIGN=MIDDLE  ALT=\"1.166666666666667=1.166666666666667\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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