19234
______
276852
______
In the last two examples of Magical Addition the only stipulations needed are that no subsequent row shall contain more figures than are contained in the first row, and that the first row shall end neither with a 1 nor a 0.
THE CLEVER LAWYER.
The following good story is very old:—A country attorney was once left executor to a will in which the testator bequeathed his stable of horses to be divided among three persons, in the proportions of half of the horses to A, a third of the horses to B, and a ninth of the horses to C. When the will was made 18 horses were in the stable, but subsequently, and before the death of the testator, one died, leaving but 17. The division according to the will now seemed impossible; but to prevent disputes among the legatees, the lawyer gave a horse out of his own stable, then divided the horses according to the will, and yet received his own back, and all were satisfied. It was done in the following manner:—
| A received the half of 18, namely | 9 | horses. |
| B „ third „ | 6 | „ |
| C „ ninth „ | 2 | „ |
| 17 | ||
| The lawyer's horse returned | 1 | |
| 18 |
A NEW WAY OF MULTIPLYING BY 9.
Suppose it be required to multiply the following figures by 9, the result may be obtained in the following as well as in the ordinary way. In the first example the ordinary method has been pursued; the new way consists in adding a 0 on the right-hand side of the figures, and subtracting the number to be multiplied.