document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=399469>Question 399469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 4 years from now, Anna will be 2/3 of Mike's present age. In 11 years from now, Mike will be double Camilla's present age. 19 years ago, Anna was half as old as Camilla. How old are they now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283075 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=283075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = Anna's present age<BR>\n" );
document.write( "let m = Mike's<BR>\n" );
document.write( "let c = Camilla's<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement, simplify into standard form:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"In 4 years from now, Anna will be 2/3 of Mike's present age.\"<BR>\n" );
document.write( " a + 4 = <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;\" >m<BR>\n" );
document.write( "Multiply by 3 to get rid of the fraction<BR>\n" );
document.write( "3(a+4) = 2m<BR>\n" );
document.write( "3a + 12 = 2m<BR>\n" );
document.write( "3a - 2m = -12\r<BR>\n" );
document.write( "\n" );
document.write( ":<BR>\n" );
document.write( "\"In 11 years from now, Mike will be double Camilla's present age.\"<BR>\n" );
document.write( "m + 11 = 2c<BR>\n" );
document.write( "m - 2c = -11<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"19 years ago, Anna was half as old as Camilla.\"<BR>\n" );
document.write( "a - 19 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(c-19)<BR>\n" );
document.write( "multiply by 2<BR>\n" );
document.write( "2(a-19) = c - 19<BR>\n" );
document.write( "2a - 38 = c - 19<BR>\n" );
document.write( "2a - c = -19 + 38<BR>\n" );
document.write( "2a - c = 19<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See what we can do with these three equations:<BR>\n" );
document.write( "3a - 2m + 0c = -12<BR>\n" );
document.write( "0a + 1m - 2c = -11<BR>\n" );
document.write( "2a + 0m - 1c = 19<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using the matrix feature in my Ti83, I got<BR>\n" );
document.write( "a = 22 is Anna's age<BR>\n" );
document.write( "m = 39 is Mike's age<BR>\n" );
document.write( "c = 25 is Camilla's age\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );