document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104990>Question 1104990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the ages of a man and his wife is six times the sum of the ages of their children. Two years ago the sum of their ages was ten times the age of their children. After six years the sum of their ages will be 3 times the sum of the ages of their children . How many children do they have ?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719764 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=719764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let m = the man's present age<BR>\n" );
document.write( "let w = wife's present age<BR>\n" );
document.write( "let c = the sum of the children's present age<BR>\n" );
document.write( "let n = no. of children<BR>\n" );
document.write( ":<BR>\n" );
document.write( " The sum of the ages of a man and his wife is six times the sum of the ages of their children.<BR>\n" );
document.write( " m + w = 6c<BR>\n" );
document.write( ":<BR>\n" );
document.write( " Two years ago the sum of their ages was ten times the age of their children.<BR>\n" );
document.write( "(m-2) + (w-2) = 10(c - 2n)<BR>\n" );
document.write( " m + w - 4 = 10c - 20n<BR>\n" );
document.write( "replace (m+w) with 6c<BR>\n" );
document.write( "6c - 4 = 10c - 20n<BR>\n" );
document.write( "6c - 10c - 4 = - 20n<BR>\n" );
document.write( "-4c - 4 = -20n<BR>\n" );
document.write( "multiply by -1<BR>\n" );
document.write( "4c + 4 = 20n<BR>\n" );
document.write( "simplify, divide by 4<BR>\n" );
document.write( "c + 1 = 5n<BR>\n" );
document.write( ":<BR>\n" );
document.write( " After six years the sum of their ages will be 3 times the sum of the ages of their children.<BR>\n" );
document.write( "(m+6) + (w+6) = 3(c + 6n)<BR>\n" );
document.write( "m + w + 12 = 3c + 18n<BR>\n" );
document.write( "replace (m+w) with 6c<BR>\n" );
document.write( "6c + 12 = 3c + 18n<BR>\n" );
document.write( "6c - 3c + 12 = 18n<BR>\n" );
document.write( "3c + 12 = 18n<BR>\n" );
document.write( "simplify, divide by 3<BR>\n" );
document.write( "c + 4 = 6n<BR>\n" );
document.write( ":<BR>\n" );
document.write( "How many children do they have?<BR>\n" );
document.write( " use elimination on these two simplified equation<BR>\n" );
document.write( "c + 4 = 6n<BR>\n" );
document.write( "c + 1 = 5n<BR>\n" );
document.write( "-----------subtraction eliminated c<BR>\n" );
document.write( "0 + 3 = n<BR>\n" );
document.write( "they have 3 children\r<BR>\n" );
document.write( "\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );