document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214917>Question 214917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A year ago Denise was 4 times as old as her brother Bryan. This year she is only 3 times as old as Bryan. How old were Denise and Bryan last year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162374 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=162374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A year ago Denise was 4 times as old as her brother Bryan. This year she is only 3 times as old as Bryan. How old were Denise and Bryan last year?<BR>\n" );
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document.write( "Let Bryan's age NOW be \"B\".<BR>\n" );
document.write( "Let Denise's age NOW be \"D\".<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "(D-1) = 4(B-1)<BR>\n" );
document.write( "D = 3B<BR>\n" );
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document.write( "Substitute for D to solve for B:<BR>\n" );
document.write( "(3B-1) = 4(B-1)<BR>\n" );
document.write( "3B-1 = 4B-4<BR>\n" );
document.write( "B = 3 (Bryan's age NOW)<BR>\n" );
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document.write( "Substitute to solve for \"D\":<BR>\n" );
document.write( "D = 3B = 3*3 = 9 (Denise's age NOW)<BR>\n" );
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document.write( "Bryan's age last year was B-1 = 2<BR>\n" );
document.write( "Denise's age last year was D-1 = 8<BR>\n" );
document.write( "=========================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );