document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180782>Question 1180782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When Ramon was 12 years old, his father was 40. How many years must pass for Ramon to be 8 years older than one-fourth as old as his father. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810581 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is another of many different ways this problem could be solved....<br><BR>\n" );
document.write( "The difference between their ages is 28 years.  Use that to find how old they are when Ramon's age is 8 more than one-fourth his father's age.<br><BR>\n" );
document.write( "x = father's age when Ramon's age is 8 more than one-fourth his father's age<BR>\n" );
document.write( "(1/4)x+8 = Ramon's age then<br><BR>\n" );
document.write( "The difference between their ages then (as always) is 28:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-%28%281%2F4%29x%2B8%29=28 ALIGN=MIDDLE  ALT=\"x-%28%281%2F4%29x%2B8%29=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+%281%2F4%29x-8=28 ALIGN=MIDDLE  ALT=\"x+-+%281%2F4%29x-8=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29x=36 ALIGN=MIDDLE  ALT=\"%283%2F4%29x=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+36%284%2F3%29+=+48 ALIGN=MIDDLE  ALT=\"x+=+36%284%2F3%29+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29x%2B8+=+48%2F4%2B8+=+12%2B8+=+20 ALIGN=MIDDLE  ALT=\"%281%2F4%29x%2B8+=+48%2F4%2B8+=+12%2B8+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The father will be 48 and the son 20 when the son's age is 8 more than one-fourth his father's age.<br><BR>\n" );
document.write( "Now, having determined that, I will submit that the question that is asked can't be answered, because there is not enough information.<br><BR>\n" );
document.write( "We know that some time in the past Ramon was 12 and his father was 40.<br><BR>\n" );
document.write( "And we know that some time in the future Ramon will be 20 and his father will be 48.<br><BR>\n" );
document.write( "Then the question asks HOW MANY YEARS MUST PASS before the time when Ramon is 20 and his father is 48.<br><BR>\n" );
document.write( "But there is nothing in the statement of the problem that lets us determine how old either of them is NOW -- and therefore we can't determine how many years MUST PASS until their ages are 20 and 48.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );