document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184924>Question 184924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A says to B \" I am twice as old as you were when I was as old as you are\".The sum of their ages be 63 yrs then find their present ages? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138780 by </B><A HREF=/tutors/aboutme.mpl?userid=J2R2R><B>J2R2R(94)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=J2R2R><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=J2R2R><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A says to B “I am twice as old as you were when I was as old as you are\". The sum of their ages is 63 yrs then find their present ages?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When A was what B’s age is now, let X be the age of B, Y be the gap between the ages of A and B, and so A’s age was X + Y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "They have now moved on Y years so that B is now what A was.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now B’s age is X + Y and A’s age is X + 2Y, but this also equals 2X by the statement “I am twice as old as you were when I was as old as you are”\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, X + 2Y = 2X, giving X = 2Y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore A’s age was X + Y = 2Y + Y = 3Y and B’s age was X = 2Y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now A’s age is 3Y + Y = 4Y and B’s age is 2Y + Y = 3Y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The present ages of A and B total 63, so 4Y + 3Y = 7Y = 63 which gives Y = 9 (the gap)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since X = 2Y = 18, we have the solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A was 3Y = 27 and B was 2Y = 18 (9 years gap)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A is now 4Y = 36 and B is now 3Y = 27 (9 years gap)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A is now (36) twice what B was (18) when A was what B is now (27).<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );