Answers 277- SHEEP SHARING
The share of Charles is 3,456 sheep. Probably some readers will first have
found Alfred's share, and then subtracted 25 per cent, but this will, of course,
be wrong.
- THE ARITHMETICAL CABBY
The driver's number must have been 121.- THE LENGTH OF A LEASE
The number of years of the lease that had expired was 54.- MARCHING AN ARMY
There must have been 4,550 men. At first they were placed with 65 in front
and 70 in depth; afterwards 910 in front and 5 in depth.- THE YEAR 1927
211 - 1}2 = 1927.
- BOXES OF CORDITE
The dump officer should give boxes of 18 until the remainder is a multiple
of 5. Then, unless this is 5, 10, or 25, he gives this remainder in 15's and 20's.
The biggest number for which this system breaks down is 72 plus 25, or 97.
Of course, in the case of higher numbers, such as 133, where 108, in six boxes
of 18, leaves 25, he would give only one box of 18, leaving 115, which he would
deliver in one box of 15 and five boxes of 20. But in the case of 97, 72 is the
first and only case leaving a multiple of 5-that is, 25.
- THE ORCHARD PROBLEM
At first he had 7,890 trees, which formed a square 88 X 88, and left 146 trees
over; but the additional 31 trees made it possible to plant a square 89 X 89,
or a total of7,921 trees.