document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318498>Question 318498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One year from today, Amy will be two-thirds as old as Ann. Five years from today; Amy will be four-fifths as old as Ann. How old is Amy today? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227966 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=227966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let Ann's age be x now.<BR>\n" );
document.write( "Amy's age be y<BR>\n" );
document.write( "..<BR>\n" );
document.write( "after one year <BR>\n" );
document.write( "ann - x+1<BR>\n" );
document.write( "Amy y+1<BR>\n" );
document.write( "(y+1)= 2/3 (x+1)<BR>\n" );
document.write( "3(y+1)=2(x+1)<BR>\n" );
document.write( "3y+3=2x+2<BR>\n" );
document.write( "1. 3y-2x=-1 <BR>\n" );
document.write( "..<BR>\n" );
document.write( "After 5 years<BR>\n" );
document.write( "Ann x+y<BR>\n" );
document.write( "Amy y+5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y+5 = 4/5 (x+5)<BR>\n" );
document.write( "5(y+5)=4(x+5)<BR>\n" );
document.write( "5y+25=4x+20<BR>\n" );
document.write( "2.  5y-4x=-5<BR>\n" );
document.write( "Multiply eq1 by 2 and subtract eq2<BR>\n" );
document.write( "6y-4x-5y+4x=-2+5<BR>\n" );
document.write( "y=3 Ann's age now<BR>\n" );
document.write( "plug the value of y in eq1<BR>\n" );
document.write( "3y-2x=-1<BR>\n" );
document.write( "9-2x=-1<BR>\n" );
document.write( "10=2x<BR>\n" );
document.write( "x=5 Amy's age now  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );