FIRST CASE.

Where each of the numbers is less than 10. Suppose the numbers thought

of were 2, 3, 5.

EXAMPLE.

1. Desire him to double the first number, making 4

2. To add one to it 5

3. To multiply by 5 25

4. To add the second number 28

There being a third number, repeat the process.

5. To double it 56

6. To add 1 to it 57

7. To multiply by 5 285

8. To add the third number 290

And to proceed in the same manner for as many numbers as were thought

of. Let him tell you the last sum produced (in this case, 290). Then,

if there were two numbers thought of, you must subtract 5; if three,

55; if four, 555. You must here subtract 55; leaving a remainder of

235, which are the numbers thought of, 2, 3, and 5.

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