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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

Problems from a 15th century French manuscript, including one with negative solutions
How long does it take a single man to do work when...
Now a pile of rice is against a wall, it has a base perimeter of 60 feet and a height of 12 feet.
Find the height of a window.
Three circles of varying radius are mutually tangent. The area of the triangle connecting their centers is given. Find the radius of the third circle.
A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more.
Two officers each have a company of men, the one has 40 less than the other.
Age
My age is a number consisting of two digits, 1/2 of this number is a mean proportional between these two digits, and two years hence, my age will be a third proportional to the same two digits, directly as they stand in my present age.
A number is required; that the square shall be equal to twice the cube.
Thirty flasks-10 full, 10 half-empty, and 10 completely empty- are to be divided among 3 sons so that flasks and contents should be shared equally. How may this be done?

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