document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827937>Question 827937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a grandfather's age is equal to  the digits of his two grandchildren.  And his age plus their ages equals 83. How old is he?\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 #499056 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a grandfather's age is equal to the digits of his two grandchildren.<BR>\n" );
document.write( " And his age plus their ages equals 83.<BR>\n" );
document.write( " How old is he? \:<BR>\n" );
document.write( "Let a = the 1st digit of grandpa's age & the age of one of the grandchildren<BR>\n" );
document.write( "Let b = the 2nd digit of grandpa's age & the age of the other grandchild<BR>\n" );
document.write( "then<BR>\n" );
document.write( "10a + b = grandpa's age<BR>\n" );
document.write( "\" his age plus their ages equals 83.\" therefore:<BR>\n" );
document.write( "10a + b + a + b = 83<BR>\n" );
document.write( "11a + 2b = 83<BR>\n" );
document.write( "2b = -11a + 83<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-11a%2B83%29%2F2 ALIGN=MIDDLE  ALT=\"%28-11a%2B83%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We know that a has to be a single digit, 7,  6 would make b too much<BR>\n" );
document.write( "Lets try a = 7<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-11%287%29%2B83%29%2F2 ALIGN=MIDDLE  ALT=\"%28-11%287%29%2B83%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F2 ALIGN=MIDDLE  ALT=\"6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 3<BR>\n" );
document.write( "Grandpa is 73, grand-kids are 7 and 3 </SPAN>\n" );
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