document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170454>Question 170454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "Here's my fourth and final GRE math prep word problem of the day:<BR>\n" );
document.write( "If 3 time's Jane's age, in years, is equal to 8 times Beth's age, in years, and the difference between their ages is 15 years, how old are Jane and Beth?<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Julie </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125844 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=125844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let J = Jane's age<BR>\n" );
document.write( "and B = Beth's age<BR>\n" );
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document.write( "From: \"3 time's Jane's age, in years, is equal to 8 times Beth's age\"<BR>\n" );
document.write( "3J = 8B (equation 1)<BR>\n" );
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document.write( "From: \"difference between their ages is 15 years\"<BR>\n" );
document.write( "J-B = 15 (equation 2)<BR>\n" );
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document.write( "Solving equation 2 for J:<BR>\n" );
document.write( "J-B = 15<BR>\n" );
document.write( "J = 15+B<BR>\n" );
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document.write( "Plug the above into equation 1 and solve for B:<BR>\n" );
document.write( "3J = 8B<BR>\n" );
document.write( "3(15+B) = 8B<BR>\n" );
document.write( "45+3B = 8B<BR>\n" );
document.write( "45 = 5B<BR>\n" );
document.write( "9 = B (Beth's Age)<BR>\n" );
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document.write( "Plug the above into equation 2 and solve for J:<BR>\n" );
document.write( "J-B = 15<BR>\n" );
document.write( "J-9 = 15<BR>\n" );
document.write( "J = 24 (Jane's Age)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );