document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240250>Question 240250</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The four children in the Dempsey family have a combined age of 25 years. Jennifer’s oldest brother is six times as old as she is. Her next-to-oldest brother is 5 years older than she is, and the youngest of her brothers is twice Jennifer’s age. How old is each of the Dempsey children? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176085 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=176085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The four children in the Dempsey family have a combined age of 25 years.<BR>\n" );
document.write( " Jennifer’s oldest brother is six times as old as she is.<BR>\n" );
document.write( " Her next-to-oldest brother is 5 years older than she is, and the youngest of her brothers is twice Jennifer’s age.<BR>\n" );
document.write( " How old is each of the Dempsey children?<BR>\n" );
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document.write( "Let the 4 children's ages be, j, a, b, c<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\" The four children in the Dempsey family have a combined age of 25 years.\"<BR>\n" );
document.write( "j + a + b + c = 25<BR>\n" );
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document.write( "\" Jennifer’s oldest brother is six times as old as she is.\"<BR>\n" );
document.write( "a = 6j<BR>\n" );
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document.write( "\" Her next-to-oldest brother is 5 years older than she is,\"<BR>\n" );
document.write( "b = j + 5<BR>\n" );
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document.write( "\" and the youngest of her brothers is twice Jennifer’s age.\"<BR>\n" );
document.write( "c = 2j<BR>\n" );
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document.write( " How old is each of the Dempsey children?<BR>\n" );
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document.write( "Note that each are in terms of j, so we just substitute<BR>\n" );
document.write( "j + a + b + c = 25<BR>\n" );
document.write( "j + 6j + (j+5) + 2j = 25<BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "j + 6j + j + 2j + 5 = 25<BR>\n" );
document.write( "10j = 25 - 5<BR>\n" );
document.write( "10j = 20<BR>\n" );
document.write( "j = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F10 ALIGN=MIDDLE  ALT=\"20%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "j = 2<BR>\n" );
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document.write( "Now you use the equations we have, to find the ages a, b, c. <BR>\n" );
document.write( "Check by adding them up and seeing if they equal 25 </SPAN>\n" );
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