document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=635690>Question 635690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The age of a father was 6 times the age of his son two years ago. After six years the ratio of their ages was 10:3. what is the age of father now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400601 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=400601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The age of a father was 6 times the age of his son two years ago.<BR>\n" );
document.write( " After six years the ratio of their ages was 10:3.<BR>\n" );
document.write( " what is the age of father now?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let f = father's present age<BR>\n" );
document.write( "let s = son's age<BR>\n" );
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document.write( "\"The age of a father was 6 times the age of his son two years ago.\"<BR>\n" );
document.write( "f - 2 = 6(s - 2)<BR>\n" );
document.write( "f - 2 = 6s - 12<BR>\n" );
document.write( "f = 6s - 12 + 2<BR>\n" );
document.write( "f = 6s - 10<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"After six years the ratio of their ages was 10:3.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2B6%29%2F%28s%2B6%29 ALIGN=MIDDLE  ALT=\"%28f%2B6%29%2F%28s%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F3 ALIGN=MIDDLE  ALT=\"10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "10(s+6) = 3(f+6)<BR>\n" );
document.write( "10s + 60 = 3f + 18<BR>\n" );
document.write( "10s + 60 - 18 = 3f<BR>\n" );
document.write( "10s + 42 = 3f<BR>\n" );
document.write( "Replace f with (6s-10)<BR>\n" );
document.write( "10s + 42 = 3(6s-10)<BR>\n" );
document.write( "10s + 42 = 18s - 30<BR>\n" );
document.write( "42 + 30 = 18s - 10s<BR>\n" );
document.write( "72 = 8s<BR>\n" );
document.write( "s = 72/8<BR>\n" );
document.write( "s = 9 yrs is the son's age<BR>\n" );
document.write( "then<BR>\n" );
document.write( "f = 6s - 10<BR>\n" );
document.write( "f = 6(9) - 10<BR>\n" );
document.write( "f = 54 - 10<BR>\n" );
document.write( "f = 44 yrs is the father's age<BR>\n" );
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document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2844%2B6%29%2F%289%2B6%29 ALIGN=MIDDLE  ALT=\"%2844%2B6%29%2F%289%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F15 ALIGN=MIDDLE  ALT=\"50%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F3 ALIGN=MIDDLE  ALT=\"10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );