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The Muddletown Election

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

math
At the last Parliamentary election at Muddletown 5,473 votes were polled. The Liberal was elected by a majority of 18 over the Conservative, by 146 over the Independent, and by 575 over the Socialist. Can you give a simple rule for figuring out how many votes were polled for each candidate?

Solution

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

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