document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276487>Question 276487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hannah, Mark and Tom have a combined age of 68. Hannah is twice as old as the dierence between Mark and Tom's age. Mark and Tom's combined age is 16 times<BR>\n" );
document.write( "Hannah's age. Mark is older than Tom. How old is Tom?\r<BR>\n" );
document.write( "\n" );
document.write( "(a) 31 (b) 32 (c) 33 (d) 34 (e) None of the above </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201690 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=201690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hannah, Mark and Tom have a combined age of 68.<BR>\n" );
document.write( "h + m + t = 68 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Hannah is twice as old as the difference between Mark and Tom's age.<BR>\n" );
document.write( "h = 2(m - t)<BR>\n" );
document.write( ":<BR>\n" );
document.write( " Mark and Tom's combined age is 16 times Hannah's age.<BR>\n" );
document.write( "m + t = 16h<BR>\n" );
document.write( "-16h + m + t = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Subtract the above equation from the 1st equation<BR>\n" );
document.write( "h + m + t = 68<BR>\n" );
document.write( "-16h + m + t = 0<BR>\n" );
document.write( "-------------------subtraction eliminates m & t, find h<BR>\n" );
document.write( "17h = 68<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=68%2F17 ALIGN=MIDDLE  ALT=\"68%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 4 yrs is Hannah's age<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Replace h with 4 in the equation m + t = 16h<BR>\n" );
document.write( "m + t = 16(4)<BR>\n" );
document.write( "m + t = 64<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "Replace h in the equation h = 2(m-t)<BR>\n" );
document.write( "2(m - t) = 4<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "m - t = 2<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Add the two equation<BR>\n" );
document.write( "m + t = 64<BR>\n" );
document.write( "m - t = 2<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "2m = 66<BR>\n" );
document.write( "m = 33 yrs is Marks age<BR>\n" );
document.write( "then<BR>\n" );
document.write( "31 is Tom's age<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check total<BR>\n" );
document.write( "4 + 33 + 31 = 68\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );