document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322312>Question 322312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, Ive been given a question. \"Twelve years ago Jack was five times as old as Jill. In three years time Jill will be half of Jack's age. What are Jack and Jill's present ages?\"\r<BR>\n" );
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document.write( "I've tried heaps of different equations with no luck so far.<BR>\n" );
document.write( "If Jack = y and Jill = x I have been using the following -\r<BR>\n" );
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document.write( "y = 5x - 12<BR>\n" );
document.write( "x = y/x + 3\r<BR>\n" );
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document.write( "So I go x = (5x - 12)/x + 3 \r<BR>\n" );
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document.write( "I've tried several others I just can't figure it out. Becoming really frustrating and a push in the right direction would be hugely helpful! :)\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230734 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=230734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Twelve years ago Jack was five times as old as Jill. In three years time Jill will be half of Jack's age. What are Jack and Jill's present ages?\"<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let Jill's age be x now<BR>\n" );
document.write( "Let Jack's age be y now<BR>\n" );
document.write( "..<BR>\n" );
document.write( "12 years ago their ages were<BR>\n" );
document.write( "Jill x-12<BR>\n" );
document.write( "Jack y-12<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y-12=5(x-12)<BR>\n" );
document.write( "y-12=5x-60<BR>\n" );
document.write( "y-5x=-48.......... equation 1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "after 3 years their ages will be<BR>\n" );
document.write( "Jill x+3<BR>\n" );
document.write( "Jack y+3<BR>\n" );
document.write( "(x+3)= 1/2 (y+3)<BR>\n" );
document.write( "2(x+3)=y+3<BR>\n" );
document.write( "2x+6=y+3<BR>\n" );
document.write( "2x-y=-3......... equation 2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Add equation 1&2\r<BR>\n" );
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document.write( "y-5x+2x-y=-48-3<BR>\n" );
document.write( "-3x=-51<BR>\n" );
document.write( "x= 17 which is Jill's age now<BR>\n" );
document.write( "Plug the value of x in equation1<BR>\n" );
document.write( "y-85=-48<BR>\n" );
document.write( "y=37 Jack's age now<BR>\n" );
document.write( " </SPAN>\n" );
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