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Problems from Another Time

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

What number which being increased by 1/2, 1/3, and 1/4 of itself, the sum shall be 75?
On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.
A lady has two silver cups, and only one cover for both. The first cup weighs 16 oz, and when it is covered it weighs 3 times as much as the second cup; but when the second cup is covered, it weighs 4 times as much as the first.
Make of 10 three parts such that one part multiplied by 3 makes as much as the other multiplied by 4 and as the other multiplied by 5.
A copper water tank in the form of a rectangular parallelopiped is to made. If its length is to be a times its breadth, how high should it be that for a given capacity it should cost as little as possible?
One military horse cannot pull a load of 40 dan; neither can 2 ordinary horses, nor can three inferior horses.
X, Y and Z hired a pasture for the season for $90.00. Each has a different number of mules and are on the pasture for a different number of days. How much is each to pay?
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.
A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
I am a brazen lion; my spouts are my 2 eyes, my mouth, and the flat of my foot. My right eye fills a jar in 2 days, my left eye in 3, and my foot in 4.

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