| Third Method.— | Multiply the number thought of by itself (say 11). | 121 |
| Take 1 from the number thought of, and multiply the result by itself (10+10) | 100 | |
| Ask the difference between the two results | 21 |
To this number the player, who is exhibiting his powers, must mentally add 1=22, and divide that number by 2, which gives 11, the number thought of.
| Fourth Method.— | Add 1 to the number thought of (again 11) | 12 |
| Multiply by 3 | 36 | |
| Add 1 | 37 | |
| Add the number thought of (11) | 48 |
Ask the result, from which mentally subtract 4, and divide the result by 4, which will again correctly give the original number.
| Fifth Method.— | Let the number (11) thought of be doubled | 22 |
| Add 4 | 26 | |
| Multiply by 5 | 130 | |
| Add 12 | 142 | |
| Multiply by 10 | 1,420 |
Ask the result, from which mentally deduct 320, giving 1,100, from which strike off the noughts, and the result is again as before.
| Sixth Method.— | Let 1 be deducted from the number (11) thought of | 10 |
| Multiply by 2 | 20 | |
| Add number first thought of | 31 |
Ask the result, and to it mentally add 3=34, divide by 3, and the quotient of full numbers will be the number thought of. The above methods of guessing a number thought of will be about as many as any lad can remember.
MAGICAL ADDITION.
The following is a peculiar arrangement of the figures 1 to 9, so that by adding them together they amount to 100:—