document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005488>Question 1005488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, \r<BR>\n" );
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document.write( "I need help with a math problem:<BR>\n" );
document.write( "The ratio between the ages of John and David is 6:5. In 7 years time the ratio between their ages will be 7:6. How old are they today?\r<BR>\n" );
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document.write( "Thanks for the help.<BR>\n" );
document.write( "- E.S. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621734 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=621734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+ ALIGN=MIDDLE  ALT=\"+j+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = John's age now<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = David's age now<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j%2Fd+=+6%2F5+ ALIGN=MIDDLE  ALT=\"+j%2Fd+=+6%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+j%2B7%29+%2F+%28+d%2B7+%29+=+7%2F6+ ALIGN=MIDDLE  ALT=\"+%28+j%2B7%29+%2F+%28+d%2B7+%29+=+7%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+%286%2F5%29%2Ad+ ALIGN=MIDDLE  ALT=\"+j+=+%286%2F5%29%2Ad+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A%28+d%2B7+%29+ ALIGN=MIDDLE  ALT=\"+6%2A%28+d%2B7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A%28+j%2B7+%29+=+7%2A%28+d%2B7+%29+ ALIGN=MIDDLE  ALT=\"+6%2A%28+j%2B7+%29+=+7%2A%28+d%2B7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6j+%2B+42+=+7d+%2B+49+ ALIGN=MIDDLE  ALT=\"+6j+%2B+42+=+7d+%2B+49+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A%28+%286%2F5%29%2Ad+%29+%2B+42+=+7d+%2B+49+ ALIGN=MIDDLE  ALT=\"+6%2A%28+%286%2F5%29%2Ad+%29+%2B+42+=+7d+%2B+49+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A%28+%286%2F5%29%2Ad+%29+-+7d+=+7+ ALIGN=MIDDLE  ALT=\"+6%2A%28+%286%2F5%29%2Ad+%29+-+7d+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+ ALIGN=MIDDLE  ALT=\"+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36d+-+35d+=+35+ ALIGN=MIDDLE  ALT=\"+36d+-+35d+=+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+35+ ALIGN=MIDDLE  ALT=\"+d+=+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+%286%2F5%29%2Ad+ ALIGN=MIDDLE  ALT=\"+j+=+%286%2F5%29%2Ad+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+%286%2F5%29%2A35+ ALIGN=MIDDLE  ALT=\"+j+=+%286%2F5%29%2A35+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+42+ ALIGN=MIDDLE  ALT=\"+j+=+42+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "John is 42 and David is 35 <BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+42%2F35+=+6%2F5+ ALIGN=MIDDLE  ALT=\"+42%2F35+=+6%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+6%2A7+%29+%2F+%28+5%2A7+%29+=+6%2F5+ ALIGN=MIDDLE  ALT=\"+%28+6%2A7+%29+%2F+%28+5%2A7+%29+=+6%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+42+%2B+7+%29+%2F+%28+35+%2B+7+%29+=+7%2F6+ ALIGN=MIDDLE  ALT=\"+%28+42+%2B+7+%29+%2F+%28+35+%2B+7+%29+=+7%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+49%2F42+=+7%2F6+ ALIGN=MIDDLE  ALT=\"+49%2F42+=+7%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+7%2A7+%29+%2F+%28+6%2A7+%29+=+7%2F6+ ALIGN=MIDDLE  ALT=\"+%28+7%2A7+%29+%2F+%28+6%2A7+%29+=+7%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );