To Find a Number Thought of.

FIRST METHOD.

	EXAMPLE.
Let a person think of a number, say	6
1. Let him multiply by 3	18
2. Add 1	19
3. Multiply by 3	57
4. Add to this the number thought of	63

Let him inform you what is the number produced; it will always end with 3. Strike off the 3, and inform him that he thought of 6.

SECOND METHOD.

	EXAMPLE.
Suppose the number thought of to be	6
1. Let him double it	12
2. Add 4	16
3. Multiply by 5	80
4. Add 12	92
5. Multiply by 10	920

Let him inform you what is the number produced. You must then, in every case, subtract 320; the remainder is, in this example, 600; strike off the 2 ciphers, and announce 6 as the number thought of.

THIRD METHOD.

Desire a person to think of a number—say 6. He must then proceed:

	EXAMPLE.
1. To multiply this number by itself	36
2. To take 1 from the number thought of	5
3. To multiply this by itself	25
4. To tell you the difference between this product and the former	11
You must then add 1 to it	12
And halve this number	6

Which will be the number thought of.

FOURTH METHOD.

Desire a person to think of a number—say 6. He must then proceed as follows:

	EXAMPLE.
1. Add 1 to it	7
2. Multiply by 3	21
3. Add 1 again	22
4. Add the number thought of	28
Let him tell you the figures produced	28
5. You then subtract 4 from it	24
6. And divide by 4	6

Which you can say is the number he thought of.

FIFTH METHOD.

	EXAMPLE.
Suppose the number thought of be	6
1. Let him double it	12
2. Desire him to add to this a number you tell him—say 4	16
3. To halve it	8

You can then tell him that if he will subtract from this the number he thought of, the remainder will be, in the case supposed, 2.

Note.—The remainder is always half the number you tell him to add.