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By L. T. Meade

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Whereupon the trouble arose. "It can't be done," said the major. "Look at this pyramid, for example; there are sixteen balls at the base, then nine, then four, then one at the top, making thirty balls in all. " "It must be done," insisted the general. " said a lieutenant, the mathematical genius of the regiment. " exclaimed the general. " Is it really possible to obey both orders? —THE DUTCHMEN'S WIVES. I wonder how many of my readers are acquainted with the puzzle of the "Dutchmen's Wives"— in which you have to determine the names of three men's wives, or, rather, which wife belongs to each husband.

Hoping to cure him of his bad habit, he proposed as a wager that the customer would not be able to divide up the contents of a box containing only sixpences into an exact number of equal piles of sixpences. The banker was first to put in one or more sixpences (as many as he liked); then the customer was to put in one or more (but in his case not more than a pound in value), neither knowing what the other put in. Lastly, the customer was to transfer from the banker's counter to the box as many sixpences as the banker desired him to put in.

That is, if we take any number we choose we can always form one, two, or three triangles with them. ). Then, again, some numbers will form both one and two triangles (as 6), others both one and three triangles (as 3 and 10), others both two and three triangles (as 7 and 9), while some numbers (like 21) will form one, two, or three triangles, as we desire. Now for a little puzzle in triangular numbers. Sandy McAllister, of Aberdeen, practised strict domestic economy, and was anxious to train his good wife in his own habits of thrift.

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