Ship and Boiler

A ship is twice as old as its boiler was when the ship was as old as the boiler is now. What is the ratio of the boiler’s age to the ship’s age?

Answer

Ratio is 34.

If we let S be the ship’s age and let B be the boiler’s age, and T to be the difference we get: S – T = B
S = 2 x (B – T)

If we eliminate T (with T = S – B), we will get: BS = 34

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