document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205101>Question 205101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When I am as old as my father is now, I shall be five times as old as my son is now. By then, my son will be eight years older than I am now. The combined ages of my father and myself are 100 years. How old is my son? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154849 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=154849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When I am as old as my father is now, I shall be five times as old as my son is now. By then, my son will be eight years older than I am now. The combined ages of my father and myself are 100 years. How old is my son?<BR>\n" );
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document.write( "let m = my age now<BR>\n" );
document.write( "let s = son's age<BR>\n" );
document.write( "let f = father's age<BR>\n" );
document.write( "let d = difference between my age and father's age (f - m)<BR>\n" );
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document.write( "From the statement <BR>\n" );
document.write( "\"When I am as old as my father is now, I shall be five times as old as my son is now.\"<BR>\n" );
document.write( "we can say: (m + d) = 5s = f<BR>\n" );
document.write( "or <BR>\n" );
document.write( "d = 5s - m<BR>\n" );
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document.write( "\" By then, my son will be eight years older than I am now.\"<BR>\n" );
document.write( "s + d = m + 8<BR>\n" );
document.write( "replace d with (5s-m)<BR>\n" );
document.write( "s + 5s - m = m + 8<BR>\n" );
document.write( "6s - 2m = 8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" The combined ages of my father and myself are 100 years.\"<BR>\n" );
document.write( "f + m = 100<BR>\n" );
document.write( "Replace f with 5s<BR>\n" );
document.write( "5s + m = 100<BR>\n" );
document.write( ":<BR>\n" );
document.write( " How old is my son?<BR>\n" );
document.write( "multiply the above equation by 2 and add to; 6s - 2m = 8<BR>\n" );
document.write( "10s + 2m = 200<BR>\n" );
document.write( " 6s - 2m = 8<BR>\n" );
document.write( "-------------- eliminates m<BR>\n" );
document.write( "16s = 208<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=208%2F16 ALIGN=MIDDLE  ALT=\"208%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 13 yrs is my son's age<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution:<BR>\n" );
document.write( "find m: <BR>\n" );
document.write( "m + 5s = 100<BR>\n" );
document.write( "m + 5(13) = 100<BR>\n" );
document.write( "m = 100 - 65<BR>\n" );
document.write( "m = 35 yrs is my age<BR>\n" );
document.write( "Find the father's age<BR>\n" );
document.write( "100 - 35 = 65 is father's age<BR>\n" );
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document.write( "check solution in statement:<BR>\n" );
document.write( "\"When I am as old as my father is now, I shall be five times as old as my son is now.\"<BR>\n" );
document.write( "65 = 5(13)\r<BR>\n" );
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document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );