Everyone is curious, but nobody feels comfortable sharing their own pay with the group.

You may assume that everybody cooperates with the chosen strategy.

Solution to Puzzle #23: Money Secrets

Number the ten people from 1 to 10.

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Person one thinks of a random number.

It can be positive or negative, but should be large in magnitude.

Call the random number r, and the salaries s1, s2, …, s10.

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Again, person three learns nothing about the previous salaries.

Person one then subtracts r from the total, yielding just the sum of everybodys salaries.

They divide this by ten and report the average to the group.

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