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Problems from Another Time

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

Two officers each have a company of men, the one has 40 less than the other.
I found a stone but did not weigh it; after I added to it 1/7 of its weight and then 1/11 of this new weight, I weighed the total at 1 mina. What was the weight of the stone?
A number is required; that the square shall be equal to twice the cube.
A man died leaving 3 sons, to whom he bequeathed his estate in the following manner: to the eldest he gave 184 dollars; to the second 155 dollars and to the third 96 dollars;
A leech invited a slug for a lunch a leuca away.
I owe a man the following notes: one of $800 due May 16; one of $660 due on July 1; one of $940 due Sept. 29. He wishes to exchange them for two notes of $1200 each and wants one to fall due June 1. When should the other be due?
Chuquet claimed that if given positive numbers a, b, c, d then (a + b) / (c + d) lies between a/c and b/d. Is he correct? Prove your answer
A certain man had in his trade four weights with which he could weigh integral pounds from one up to 40. How many pounds was each weight?
Determine a number having remainders 2, 3, 2 when divided by 3, 5, 7 respectively.
If 40 oranges are worth 60 apples, and 75 apples are worth 7 dozen peaches, and 100 peaches are worth 1 box of grapes and three boxes of grapes are worth 40 pounds of pecans, how many peaches can be bought for 100 oranges?