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Religion and Mathematics

If an archbishop can pray a soul out of purgatory in an hour, a bishop in three hours, a priest in five hours, and a friar in seven, how long will it take them to pray out another sinner twice as wicked, all praying together?

Solution: Did you use Cardinal numbers to solve this?

Source: 1820 mathematics textbook (Cited in D, MacHale's Comic Sections, 1993, p. 11)