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Old July 31st, 2003, 09:07 AM
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Default Re: Jokes and Riddles Centre

Quote:
Originally posted by Slick:
A ship is twice as old as its boiler was when the ship was as old as the boiler is. The sum of their ages is 49 years. How old is the ship and how old is the boiler?
Hmm, does their refer to all three listed objects? If so...

The original boiler might have aged with the ship, even though it was removed. Thus, we have

Ship = BoilerA
2 * BoilerB = Ship
Ship + BoilerA + BoilerB = 49

=> 2 * BoilerB + 2 * BoilerB + BoilerB = 5 * BoilerB = 49
=> BoilerB = 49/5
=> BoilerA = 2 * 49/5
=> Ship = 2 * 49/5

Ship: 17 and 3/5 years old
Current Boiler: 9 and 4/5 years old

What if it didn't?

Quote:
Originally posted by Slick:
A ship is twice as old as its boiler was when the ship was as old as the boiler is. The sum of their ages is 49 years. How old is the ship and how old is the boiler?
Ship = 2 * BoilerA
BoilerB = BoilerA
Ship + BoilerA + BoilerB = 49

=> 5 * BoilerB = 49
=> BoilerB = 9.8 years,
=> BoilerA = 9.8 years,
=> Ship = 19.6 years.

Hmm, still don't like them.
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