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Amusements in Mathematics Amusements in Mathematics by Henry Ernest Dudeney
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“ALGEBRAICAL PROBLEMS.”
Henry Ernest Dudeney, Amusements in Mathematics
“Forsooth, a”
Henry Ernest Dudeney, Amusements in Mathematics
“Some are very easy, others quite difficult. But they are not arranged in any order of difficulty—and this is intentional, for it is well that the solver should not be warned that a puzzle is just what it seems to be.”
Henry Ernest Dudeney, Amusements in Mathematics
“3.—AT A CATTLE MARKET. Three countrymen met at a cattle market. "Look here," said Hodge to Jakes, "I'll give you six of my pigs for one of your horses, and then you'll have twice as many animals here as I've got." "If that's your way of doing business," said Durrant to Hodge, "I'll give you fourteen of my sheep for a horse, and then you'll have three times as many animals as I." "Well, I'll go better than that," said Jakes to Durrant; "I'll give you four cows for a horse, and then you'll have six times as many animals as I've got here." No doubt this was a very primitive way of bartering animals, but it is an interesting little puzzle to discover just how many animals Jakes, Hodge, and Durrant must have taken to the cattle market.”
Henry Ernest Dudeney, Amusements in Mathematics
“notably”
Henry Ernest Dudeney, Amusements in Mathematics
“First Lady: "And was he related to you, dear?" Second Lady: "Oh, yes. You see, that gentleman's mother was my mother's mother-in-law, but he is not on speaking terms with my papa." First Lady: "Oh, indeed!" (But you could see that she was not much wiser.) How was the gentleman related to the Second Lady?”
Henry Ernest Dudeney, Amusements in Mathematics
“Here is a funny little age problem, by the late Sam Loyd, which has been very popular in the United States. Can you unravel the mystery? The combined ages of Mary and Ann are forty-four years, and Mary is twice as old as Ann was when Mary was half as old as Ann will be when Ann is three times as old as Mary was when Mary was three times as old as Ann. How old is Mary? That is all, but can you work it out? If not, ask your friends to help you, and watch the shadow of bewilderment creep over their faces as they attempt to grip the intricacies of the question.”
Henry Ernest Dudeney, Amusements in Mathematics
“the cheque for him, and the cyclist, having received his £10 change, mounted the machine and disappeared. The cheque proved to be valueless, and the salesman was requested by his neighbour to refund”
Henry Ernest Dudeney, Amusements in Mathematics
“thought.”
Henry Ernest Dudeney, Amusements in Mathematics
“136.—THE SULTAN'S ARMY. A certain Sultan wished to send into battle an army that could be formed into two perfect squares in twelve different ways. What is the smallest number of men of which that army could be composed? To make it clear to the novice, I will explain that if there were 130 men, they could be formed into two squares in only two different ways—81 and 49, or 121 and 9. Of course, all the men must be used on every occasion.”
Henry Ernest Dudeney, Amusements in Mathematics