document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=816608>Question 816608</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ages of A and B are in the ratio 4:3. in eight years time the ratio of their ages will be 9:7. find their present ages. if n years ago, A was three times as old as B, find the value of n. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491607 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=491607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ages of A and B are in the ratio 4:3. in eight years time the ratio of their ages will be 9:7. find their present ages. if n years ago, A was three times as old as B, find the value of n.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Now DATA:<BR>\n" );
document.write( "A is 4x ; B is 3x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "8 years from now DATA:<BR>\n" );
document.write( "A is 4x+8 ; B is 3x+8<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "4x+8 = 9k<BR>\n" );
document.write( "3x+8 = 7k<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "4x - 9k = -8<BR>\n" );
document.write( "3x - 7k = -8<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Modify for elimination:<BR>\n" );
document.write( "12x - 27k = -24<BR>\n" );
document.write( "12x - 28k = -32<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Subtract and solve for \"k\":<BR>\n" );
document.write( "k = 8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "4x + 8 = 9k<BR>\n" );
document.write( "4x = 72-8<BR>\n" );
document.write( "4x = 64<BR>\n" );
document.write( "x = 16<BR>\n" );
document.write( "------<BR>\n" );
document.write( "A = 4x = 64 years old<BR>\n" );
document.write( "B = 3x = 48 years old<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========================\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );