document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=637357>Question 637357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average age of 30 care home residents was 77. The next day four 73 year olds move in while one resident moves out. The average age of the residents is now 76. How old was the resident who moved out assuming nobody had a birthday that day. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401578 by </B><A HREF=/tutors/aboutme.mpl?userid=god2012><B>god2012(113)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=god2012><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=god2012><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=401578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the sum of the ages of 30 people be 'X'.<BR>\n" );
document.write( "Therefore , avg age of 30 people = X/30 = 77 .<BR>\n" );
document.write( "OR X = 30 * 77 = 2310<BR>\n" );
document.write( "When 4 new people joins, Sum of ages = X + 4*73= 2310 + 292 = 2602.<BR>\n" );
document.write( "When 1 person leaves the group, Let his age be 'Y' years<BR>\n" );
document.write( "Total number of home residents = 30 + 4 -1 = 33<BR>\n" );
document.write( "new average = (2602 - Y)/33 = 76.<BR>\n" );
document.write( "OR Y = 2602 - (33 * 76).\r<BR>\n" );
document.write( "\n" );
document.write( "Y = 94 years<BR>\n" );
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