document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198526>Question 198526</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five years from now, A will be 4/5 as old as B; five years ago, he was 2/3 as old 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 #149058 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=149058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Five years from now, A will be 4/5 as old as B; five years ago,<BR>\n" );
document.write( " he was 2/3 as old then.<BR>\n" );
document.write( " Find their present ages.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >(A+5) = (B+5)<BR>\n" );
document.write( "Multiply by 5, to get rid of the denominator, simplify<BR>\n" );
document.write( "4(A+5) = 5(B+5)<BR>\n" );
document.write( "4A + 20 = 5B + 25<BR>\n" );
document.write( "4A - 5B = -20 + 25<BR>\n" );
document.write( "4A - 5B = 5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(A-5) = (B-5)<BR>\n" );
document.write( "Multiply by 3<BR>\n" );
document.write( "2(A-5) = 3(B-5)<BR>\n" );
document.write( "2A - 10 = 3b - 15<BR>\n" );
document.write( "2A - 3B = -15 + 10<BR>\n" );
document.write( "2A - 3B = -5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the above equation by -2, add to the 1st equation<BR>\n" );
document.write( "-4A + 6B = +10<BR>\n" );
document.write( "+4A - 5B = 5<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "B = 15 yrs is B's age now<BR>\n" );
document.write( "then<BR>\n" );
document.write( "Use 4A - 5B = 5 to find A<BR>\n" );
document.write( "4A - 5(15) - 5<BR>\n" );
document.write( "4A - 75 = 5<BR>\n" );
document.write( "4A = 5 + 75<BR>\n" );
document.write( "4A = 80<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F4 ALIGN=MIDDLE  ALT=\"80%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 20 yrs is A's age now<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solutions in the statement<BR>\n" );
document.write( "Five years from now, A will be 4/5 as old as B;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >(20+5) = (15+5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check solutions in the 2nd statement<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );