document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=504093>Question 504093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This one is stumping me..  I can't figure out how it comes out to be 16 and 32.  Can someone show me the steps to get there?  Thank you.\r<BR>\n" );
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document.write( "Jack is twice as old as Lacy.  In 3 years the sum of the ages will be 54.  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 #339506 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> J = Jack's current age<BR>\n" );
document.write( "L = Lacey's current age<BR>\n" );
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document.write( "Jack is twice as old as Lacey.<BR>\n" );
document.write( "J = 2L<BR>\n" );
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document.write( "In three years...<BR>\n" );
document.write( "Jack will be J+3 years old, and<BR>\n" );
document.write( "Lacey will be L+3 years old<BR>\n" );
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document.write( "...the sum of their ages will be 54.<BR>\n" );
document.write( "(J+3)+(L+3) = 54<BR>\n" );
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document.write( "collect and simplify<BR>\n" );
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document.write( "J + L + 6 = 54<BR>\n" );
document.write( "J + L = 48 (which is the sum of their current ages)<BR>\n" );
document.write( "so,<BR>\n" );
document.write( "J = 48-L<BR>\n" );
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document.write( "We know equals are equal, so we can substitute:<BR>\n" );
document.write( "L = L, so<BR>\n" );
document.write( "2L = 48-L<BR>\n" );
document.write( "3L = 48<BR>\n" );
document.write( "L = 16<BR>\n" );
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document.write( "Use that to find J.<BR>\n" );
document.write( "J = 2L<BR>\n" );
document.write( "J = 32<BR>\n" );
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document.write( "Check using the other facts given.<BR>\n" );
document.write( "J+3 = 35<BR>\n" );
document.write( "L+3 = 19<BR>\n" );
document.write( "35 + 19 = 54<BR>\n" );
document.write( "Correct.<BR>\n" );
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document.write( "Answer: Jack is 32, and Lacey is 16.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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