document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433005>Question 433005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The combined age of a father and son is 84.in 6 years time,the father will be twice as old as the son was three years ago.how old are they now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300137 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f = Father's age<BR>\n" );
document.write( "Let s = Son's age<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "f + s = 84<BR>\n" );
document.write( "In 6 years' time, the father's age will be f+6. <BR>\n" );
document.write( "Three years ago, the son's age was s-3. <BR>\n" );
document.write( "So we can write the following equation:<BR>\n" );
document.write( "f + 6 = 2(s - 3)<BR>\n" );
document.write( "We have 2 equations and 2 unknowns.  Solve for f in the 1st equation and put in the 2nd:<BR>\n" );
document.write( "(84-s) + 6 = 2s - 6<BR>\n" );
document.write( "Solve for s:<BR>\n" );
document.write( "96 = 3s -> s = 32<BR>\n" );
document.write( "So, the son is 32 yrs old and the father is 52 yrs old.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );