document.write( "Question 1114505: Jack is twice the age of Bill who is 8 years younger than Ben who is 4 years younger than Ted who is half as old again as Jack. How old is Bill? \n" ); document.write( "

Algebra.Com's Answer #729459 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Jack is twice the age of Bill who is 8 years younger than Ben who is 4 years younger than Ted who is half as old again as Jack. How old is Bill?
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Below is the line which models the condition\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Jack = 2*Bill = 2*(Ben-8) = 2*((T-4)-8) = 2*(((0.5*Jack-4)-8), \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "or, equivalently\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Jack = Jack - 16.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The last equation is self-contradictory and does not have a solution.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore, the original problem is self-contradictory and does not have a solution.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );