Henry Ernest Dudeney/Puzzles and Curious Problems/49 - The Engine-Driver's Name/Solution

by : $49$

 * The Engine-Driver's Name

Solution
Smith.

Proof
From the last statement, the stoker is not Smith, who therefore must be Jones or Robinson.

The guard's namesake earns $\pounds 1000, 10 \shillings 2 \oldpence = 240 \, 122 \oldpence$ per annum, which is not divisible by $3$.

Hence the businessman (who is Smith) living near the engine-driver cannot be the guard's namesake.

So the guard is either Jones or Robinson.

So the stoker is not Smith, and the guard is not Smith.

Therefore the engine-driver is Smith.