### Brain Teasers

# Ship and Boiler

A ship is twice as old as its boiler was when the ship was as old as the boiler is now.

The sum of their ages is 21.

How old is the boiler, and how old is the ship?

The sum of their ages is 21.

How old is the boiler, and how old is the ship?

### Hint

Once you get your head around the wording, I think it's easy enough. Try and write down the equations for everything you know.### Answer

There is an age difference between the ship and the boiler, lets call it D. It will always be the sameSHIP = BOILER + D (1)

The SHIP = 2 * (what the BOILER was) (2)

BOILER NOW = BOILER's age then + D (3)

SHIP NOW + BOILER NOW = 21 (4)

There are now 4 equations with 4 unknowns which can be solved simultaneously To give :

Ship is 12

Boiler is 9

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