document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=502348>Question 502348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> five years ago chloe was twice as old as danny. seven years hence, three times chloe's age will be four times danny's age .ow old each now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #338816 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=338816\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <BR>\n" );
document.write( "Present age of Chloe = c<BR>\n" );
document.write( "Present age of Danny = d\r<BR>\n" );
document.write( "\n" );
document.write( "Given<BR>\n" );
document.write( "Five years ago means we have to subtract 5 from their present age<BR>\n" );
document.write( "c-5=d-5<BR>\n" );
document.write( "then<BR>\n" );
document.write( "Chloe was twice as old as Danny<BR>\n" );
document.write( "(c-5)=2(d-5)<BR>\n" );
document.write( "c-5=2d-10<BR>\n" );
document.write( "c=2d-10+5<BR>\n" );
document.write( "c=2d-5...............(1)<BR>\n" );
document.write( "Seven years hence means we have to add 6 in their present age<BR>\n" );
document.write( "c+7=d+7<BR>\n" );
document.write( "then<BR>\n" );
document.write( "Three times Chloe's age will be four times Danny's age<BR>\n" );
document.write( "3(c+7)=4(d+7)<BR>\n" );
document.write( "3c+21=4d+28<BR>\n" );
document.write( "3c=4d+28-21<BR>\n" );
document.write( "3c=4d+7..............(2)<BR>\n" );
document.write( "Put the value of c from (1) to (2)<BR>\n" );
document.write( "3c=4d+7<BR>\n" );
document.write( "3(2d-5)=4d+7<BR>\n" );
document.write( "6d-15=4d+7<BR>\n" );
document.write( "6d=4d+7+15<BR>\n" );
document.write( "6d-4d=22<BR>\n" );
document.write( "2d=22<BR>\n" );
document.write( "divide by 2 both sides of the above equation<BR>\n" );
document.write( "2d/2=22/2<BR>\n" );
document.write( "d=11<BR>\n" );
document.write( "Put the value of d in (1)<BR>\n" );
document.write( "c=2d-5...............(1)<BR>\n" );
document.write( "c=2(11)-5<BR>\n" );
document.write( "c=22-5<BR>\n" );
document.write( "c=17\r<BR>\n" );
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document.write( "Present age of Chloe = c = 17 years<BR>\n" );
document.write( "Present age of Danny = d = 11 years\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );