Miscellaneous Puzzles 53- THE THREE BROTHERS
The discussion arose before one of the tribunals as to which of a trades-
man's three sons could best be spared for service in the Army. "All I know
as to their capacities," said the father, "is this: Arthur and Benjamin can do
a certain quantity of work in eight days, which Arthur and Charles will do in
nine days, and which Benjamin and Charles will take ten days over."
Of course, it was at once seen that as more time was taken over the job
whenever Charles was one of the pair, he must be the slowest worker. This
was all they wanted to know, but it is an interesting puzzle to ascertain just
how long each son would require to do that job alone.- THE HOUSE NUMBER
A man said the house of his friend was in a long street, numbered on his
side one, two, three, and so on, and that all the numbers on one side of him
added up exactly the same as all the numbers on the other side of him. He
said he knew there were more than fifty houses on that side of the street, but
not so many as five hundred.
Can you discover the number of that house?- A NEW STREET PUZZLE
Brown lived in a street which contained more than twenty houses, but
fewer than five hundred, all numbered one, two, three, four, etc., throughout.
Brown discovered that all the numbers from one upwards to his own number
inclusive summed to exactly half the sum of all the numbers from one up to,
and including, the last house. What was the number of his house?
- ANOTHER STREET PUZZLE
A long street in Brussels has all the odd numbers of the houses on one side
and all the even numbers on the other-a method of street numbering quite
common in our own country.
(1) If a man lives in an odd-numbered house and all the numbers on one
side of him, added together, equal the numbers on the other side, how many
houses are there, and what is the number of his house?