document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=680872>Question 680872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joan is 14 years old and her mom is 41 years old. Both their ages have the same two digits. How many years until their ages have two digits again?\r<BR>\n" );
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document.write( "I have tried to work this one out on my own, but it is a very hard question that just takes a lot of time. I think there is a trick to it, but I do not know for sure. Thanks for your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422509 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=422509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note that the difference in their ages, which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+41+-+14+=+27+ ALIGN=MIDDLE  ALT=\"+41+-+14+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, will always stay the same<BR>\n" );
document.write( "in the future.<BR>\n" );
document.write( "I can express mom's future age as <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10a+%2B+b+ ALIGN=MIDDLE  ALT=\"+10a+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, Joan's age as <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10b+%2B+a+ ALIGN=MIDDLE  ALT=\"+10b+%2B+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, I have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10a+%2B+b+-+%28+10b+%2B+a+%29+=+27+ ALIGN=MIDDLE  ALT=\"+10a+%2B+b+-+%28+10b+%2B+a+%29+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10a+%2B+b+-+10b+-+a+=+27+ ALIGN=MIDDLE  ALT=\"+10a+%2B+b+-+10b+-+a+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9a+-+9b+=+27+ ALIGN=MIDDLE  ALT=\"+9a+-+9b+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+b+=+3+ ALIGN=MIDDLE  ALT=\"+a+-+b+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "This is true now for Mom, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+-+1+=+3+ ALIGN=MIDDLE  ALT=\"+4+-+1+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "note tyhat<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+-+2+=+3+ ALIGN=MIDDLE  ALT=\"+5+-+2+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Mom will be 52 and Joan is 25 when digits are swapped<BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+52+-+25+=+27+ ALIGN=MIDDLE  ALT=\"+52+-+25+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" > as it should be<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "The next time would be when<BR>\n" );
document.write( "Mom is 63 and Joan is 36<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+63+-+36+=+27+ ALIGN=MIDDLE  ALT=\"+63+-+36+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
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