document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034660>Question 1034660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> William is 1/6 the age of his father and 5 years older than his sister. If their combined ages are 51 how old is William? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649294 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> William is 1/6 the age of his father and 5 years older than his sister. If their combined ages are 51 how old is William?<BR>\n" );
document.write( "Let w = William's age<BR>\n" );
document.write( "and<BR>\n" );
document.write( "f = father's age<BR>\n" );
document.write( "s = sister's age<BR>\n" );
document.write( ".<BR>\n" );
document.write( "w = (1/6)f (eq 1)<BR>\n" );
document.write( "w = s+5 (eq 2)<BR>\n" );
document.write( "w+f+s = 51 (eq 3)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "solve eq 1 for f<BR>\n" );
document.write( "f = 6w<BR>\n" );
document.write( "solve eq 2 for s<BR>\n" );
document.write( "s = w-5<BR>\n" );
document.write( "plug above into eq 3<BR>\n" );
document.write( "w + 6w + w-5 = 51<BR>\n" );
document.write( "8w - 5 = 51<BR>\n" );
document.write( "8w = 56<BR>\n" );
document.write( "w = 7 years old (answer)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );