document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121882>Question 1121882</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average age of sadia ali and huma is 16years and that of ali huma and naila is 12 years if sadia is 13years old calculate naila age<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737880 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=737880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = the age of sadia<BR>\n" );
document.write( "let b = the age of ali<BR>\n" );
document.write( "let c = the age of huma<BR>\n" );
document.write( "let d = the age of naila\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the average age of sadia, ali, and huma is 16 years old.<BR>\n" );
document.write( "therefore a + b + c = 3 * 16 = 48\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the average age of ali, huma, and naila is 12 years old.<BR>\n" );
document.write( "therefore b + c + d = 3 * 12 = 36\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sadia is 13 years old.<BR>\n" );
document.write( "therefore a = 13\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you have 2 equations that need to be solved simultaneously.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "they are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a + b + c = 48<BR>\n" );
document.write( "b + c + d = 36\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the first equation, replace a with 13 to get 13 + b + c = 48 and solve for b + c to get b + c = 48 - 13 = 35\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the second equation, replace b + c with 35 to get 35 + d = 36 and solve for d to get d = 36 - 35 = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since d represents the age of naila, then naila must be 1 year old.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract 13 from both sides of each equation and combine like terms to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b + c = 48 - 13 = 35<BR>\n" );
document.write( "b + d = 36 - 13 = 20\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );