50 Arithmetic & Algebraic Problems- LETTER-FIGURE PUZZLE
A correspondent (c. E. B.) sends the following. It is not difficult, if prop-
erlyattacked:
AXB=B, BXC=AC, CXD=BC, DXE=CH, EXF=DK,
F X H = C J, H X J = K J, J X K = E, K X L = L, A X L = L. Every
letter represents a different digit, and, of course, AC, BC, etc., are two-
figure numbers. Can you find the values in figures of all the letters?
- THE MILLER'S TOLL
Here is a very simple puzzle, yet I have seen people perplexed by it for a few
minutes. A miller was accustomed to take as toll one-tenth of the flour that he
ground for his customers. How much did he grind for a man who had just one
bushel after the toll had been taken?- EGG LAYING
The following is a new variation of an old friend. Though it looks rather
complicated and difficult, it is absurdly easy if properly attacked. If a hen and
a half lays an egg and a half in a day and a half, how many and a half who lay
better by half will lay half a score and a half in a week and a half?- THE FLOCKS OF SHEEP
Four brothers were comparing the number of sheep that they owned. It was
found that Claude had ten more sheep than Dan. If Claude gave a quarter of
his sheep to Ben, then Claude and Adam would together have the same num-
ber as Ben and Dan together. If, then, Adam gave one-third to Ben, and Ben
gave a quarter of what he then held to Claude, who then passed on a fifth of
his holding to Dan, and Ben then divided one-quarter of the number he then
possessed equally amongst Adam, Claude, and Dan, they would all have an
equal number of sheep.
How many sheep did each son possess?
- SELLING EGGS
A woman took a certain number of eggs to market and sold some of them.
The next day, through the industry of her hens, the number left over had been