SOLUTION: 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?

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?
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
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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?
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Below is the line which models the condition


Jack = 2*Bill = 2*(Ben-8) = 2*((T-4)-8) = 2*(((0.5*Jack-4)-8), 


or, equivalently


Jack = Jack - 16.


The last equation is self-contradictory and does not have a solution.


Therefore, the original problem is self-contradictory and does not have a solution.

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