The Three Villages

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math

I set out the other day to ride in a motor-car from Acrefield to Butterford, but by mistake I took the road going _via_ Cheesebury, which is nearer Acrefield than Butterford, and is twelve miles to the left of the direct road I should have travelled. After arriving at Butterford I found that I had gone thirty-five miles. What are the three distances between these villages, each being a whole number of miles? I may mention that the three roads are quite straight.

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

Solution

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