document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203238>Question 203238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am three times as old as you were when I was as old as you are now.  When you got to be my age together our ages will be 84.  How old are we now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153375 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=153375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am three times as old as you were when I was as old as you are now.<BR>\n" );
document.write( " When you got to be my age together our ages will be 84.<BR>\n" );
document.write( " How old are we now?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = my present age<BR>\n" );
document.write( "Let y = your present age<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x-y) the difference in the ages<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"I am three times as old as you were when I was as old as you are now.\"<BR>\n" );
document.write( "x = 3[y - (x - y)]<BR>\n" );
document.write( "x = 3(y - x + y)<BR>\n" );
document.write( "x = 3(2y - x)<BR>\n" );
document.write( "x = 6y - 3x<BR>\n" );
document.write( "x + 3x = 6y<BR>\n" );
document.write( "4x = 6y<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" When you got to be my age together our ages will be 84.\"<BR>\n" );
document.write( "x + x +(x-y) = 84<BR>\n" );
document.write( "3x - y = 84<BR>\n" );
document.write( "-y = -3x + 84<BR>\n" );
document.write( "y = (3x - 84)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Substitute (3x-84) for y in the equation: 4x = 6y<BR>\n" );
document.write( "4x = 6(3x-84)<BR>\n" );
document.write( "4x = 18x - 504<BR>\n" );
document.write( "504 = 18x - 4x<BR>\n" );
document.write( "504 = 14x <BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=504%2F14 ALIGN=MIDDLE  ALT=\"504%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 36 is my age<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4(36) = 6y<BR>\n" );
document.write( "144 = 6y<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2F6 ALIGN=MIDDLE  ALT=\"144%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 24<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution<BR>\n" );
document.write( "36 - 24 = 12 is the age difference<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"I am three times as old as you were when I was as old as you are now.\"<BR>\n" );
document.write( "36 = 3(24 - 12)<BR>\n" );
document.write( "36 = 3(12)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"When you got to be my age together our ages will be 84. <BR>\n" );
document.write( "36 + (36 + 12) = 84<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I am 36 and you are 24\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );