document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515621>Question 515621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five years ago. A's age was four times B's age, 6 years hence A's age to B's is 5:2. Find the ages of A and B at present. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344097 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=344097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <BR>\n" );
document.write( "Present age of A = a<BR>\n" );
document.write( "Present age of B = b\r<BR>\n" );
document.write( "\n" );
document.write( "Five years ago<BR>\n" );
document.write( "a-5=b-5<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "A was 4 time of B's age<BR>\n" );
document.write( "a-5=4(b-5)<BR>\n" );
document.write( "a-5=4b-20<BR>\n" );
document.write( "a=4b-20+5<BR>\n" );
document.write( "a=4b-15..............(1)\r<BR>\n" );
document.write( "\n" );
document.write( "In 6 years<BR>\n" );
document.write( "A will be = a+6<BR>\n" );
document.write( "B will be = b+6<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "A's age to B's is 5:2<BR>\n" );
document.write( "a+6 / b+6 = 5/2<BR>\n" );
document.write( "2(a+6)=5(b+6)<BR>\n" );
document.write( "2a+12=5b+30<BR>\n" );
document.write( "2a=5b+30-12<BR>\n" );
document.write( "2a=5b+18<BR>\n" );
document.write( "2a=5b+18..........(2)<BR>\n" );
document.write( "Put the value of a in (2) from (1)<BR>\n" );
document.write( "2(4b-15)=5b+18<BR>\n" );
document.write( "8b-30=5b+18<BR>\n" );
document.write( "8b-5b=18+30<BR>\n" );
document.write( "3b=48<BR>\n" );
document.write( "3b/3=48/3<BR>\n" );
document.write( "b=16<BR>\n" );
document.write( "Put the value of b in (1)<BR>\n" );
document.write( "a=4b-15<BR>\n" );
document.write( "a=4(16)-15<BR>\n" );
document.write( "a=64-15<BR>\n" );
document.write( "a=49\r<BR>\n" );
document.write( "\n" );
document.write( "Present age of A = a = 49 years old<BR>\n" );
document.write( "Present age of B = b = 16 years old<BR>\n" );
document.write( "Five years ago B was = 16-5 = 11<BR>\n" );
document.write( "Five years ago A was = 49-5 = 44 (which is 4 times of 11)<BR>\n" );
document.write( "In six years there ages will be in ratio = 49+6 / 16+6 = 55/22=5/2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );