Question

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Answer 1

In order to know the trick, let us assume a three digit number first.

A third digit number is of the form:

➞ 100x + 10y + z

Where, x , y and z are hundreds, tens and ones digit respectively.

Follow the steps as given in the question:

1. Add 7 to the number

⇒ 100x + 10y + z + 7

2. Double the number

⇒ 2(100x + 10y + z + 7)

⇒ 200x + 20y + 2z + 14

3. Subtract 4 from the number

⇒ 200x + 20y + 2 + 14 - 4

⇒ 200x + 20y + 2z + 10

4. Divide the number by 2

⇒ (200x + 20y + 2z + 10) / 2

⇒ 2(100x + 10y + z + 5) / 2

⇒ 100x + 10y + z + 5

5. Subtract the original number from it.

⇒ 100x + 10y + z + 5 - (100x + 10y + z)

⇒ 100x + 10y + z + 5 - 100x - 10y - z

⇒ 5

Hence, The trick is true and 100% works.

Example :-

Let a third digit number be 123

According to the steps we have:

Steps :-

1. Add 7 to the number

⇒ 123 + 7

⇒ 130

2. Double the number

⇒ 130 × 2

⇒ 260

3. Subtract 4 from the number

⇒ 260 - 4

⇒ 256

4. Divide the number by 2

⇒ 256 ÷ 2

⇒ 128

5. Subtract original number and we must have 5 left.

⇒ 128 - 123

⇒ 5

You can see, The trick works!

Answer 2

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