An amazing number trick

[thiruvasagamani]

Consider any number. Multiply this number by 3, and add 2 to the above result. Multiply the overall by 3. Add a number that is two more than the number initially thought of. The number after the unit digit in the final answer will always be the number initially conceived.

EXAMPLE I

STEP 1 - Let us consider the number as:    35

STEP 2 - Multiplying this number by 3, it gives:    105

STEP 3 - Adding 2 to the above number, we get:    107

STEP 4 - Multiplying again by 3, we get:    321

STEP 5 - Now adding a number, which is 2 more than the number first thought of (since 35 was the number initially thought of, we must add 37):    358

Now the number after the unit digit in the answer i.e. 35 remains the number initially meant.

EXAMPLE II

STEP 1 - Let us consider any other number, say: 7

STEP 2 - Multiplying this number by 3 gives: 21

STEP 3 - Adding 2 to the above number we get: 23

STEP 4 - Multiplying the above number by 3 we get: 69

STEP 5 - Now adding 9 to the above number (since it is two more than the original number): 78

You will find that the number after the unit digit in the answer is the number initially thought of i.e. 7.