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One Way to Celebrate Valentines Day!

A man and his wife could drink a cask of beer in 20 days the man drinking half as much again as his wife: but, 18/25 of a gallon having leaked away, they found that it only lasted them together for 18 days, and the wife herself for two days longer: how much did it contain when full?

Solution:

Source: John Colenso’s The Elements of Algebra Designed for the Use of Schools, 1849.