document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=514471>Question 514471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John’s father is four times as old as John. John is three years older than his sister Carmen. John’s Mother is six times as old as Carmen. John’s father is two years older than his Mom. How old are John, Carmen, and John’s parents. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343937 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=343937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let<BR>\n" );
document.write( "Present age of father = f<BR>\n" );
document.write( "Present age of  John = j<BR>\n" );
document.write( "Present age of Carmen = c<BR>\n" );
document.write( "Present age of Mother = m\r<BR>\n" );
document.write( "\n" );
document.write( "John’s father is four times as old as John. <BR>\n" );
document.write( "f=4j<BR>\n" );
document.write( "f/4=j<BR>\n" );
document.write( "j=f/4........(1)<BR>\n" );
document.write( "John is three years older than his sister Carmen. <BR>\n" );
document.write( "c=j-3.......(2)<BR>\n" );
document.write( "John’s Mother is six times as old as Carmen. <BR>\n" );
document.write( "m=6c.........(3)<BR>\n" );
document.write( "John’s father is two years older than his Mom. <BR>\n" );
document.write( "f=m+2.........(4)<BR>\n" );
document.write( "Put the value of c from (2) to (3)<BR>\n" );
document.write( "m=6(j-3)<BR>\n" );
document.write( "Put the value of j from (1) to above equation<BR>\n" );
document.write( "m=6((f/4)-3)<BR>\n" );
document.write( "m=3f/2-18........(5)<BR>\n" );
document.write( "Put the value of m from (5) to (4)<BR>\n" );
document.write( "f=(3f/2-18)+2.........(4)<BR>\n" );
document.write( "f=(3f-36)/2 + 2<BR>\n" );
document.write( "f=((3f-36)+4)/2<BR>\n" );
document.write( "2f=(3f-36)+4<BR>\n" );
document.write( "2f=3f-36+4<BR>\n" );
document.write( "2f-3f=-36+4<BR>\n" );
document.write( "-f=-32<BR>\n" );
document.write( "Multiply by (-1) both sides<BR>\n" );
document.write( "(-1)(-f)=(-1)(-32)<BR>\n" );
document.write( "f=32<BR>\n" );
document.write( "Put the value of f in (1)\r<BR>\n" );
document.write( "\n" );
document.write( "j=f/4........(1)<BR>\n" );
document.write( "j=32/4<BR>\n" );
document.write( "j=8<BR>\n" );
document.write( "Put the value of j in (2)<BR>\n" );
document.write( "c=j-3.......(2)<BR>\n" );
document.write( "c=8-3<BR>\n" );
document.write( "c=5<BR>\n" );
document.write( "Put the value of c in (3)<BR>\n" );
document.write( "m=6c.........(3)<BR>\n" );
document.write( "m=6*5<BR>\n" );
document.write( "m=30<BR>\n" );
document.write( "Present age of father = f = 32 years old<BR>\n" );
document.write( "Present age of Mother = m = 30 years old<BR>\n" );
document.write( "Present age of  John = j = 8 years old<BR>\n" );
document.write( "Present age of Carmen = c = 5 years old<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );