Embracing Mutual Assumptions: A Promise of Reciprocity!
Imagine that You and your friend, Convolution, are playing this game together. Follow the steps to play the game.
|Sl. No.|| Steps to follow ||Example|
|1||Ask Convolution to choose an odd number (let it be q).||q = 11|
|2||Next, find its triple.||11 × 3 = 33|
|3||If the product is even, ask him to take half of it; |
if it is odd, request him to add unity to it and
then to take half of it.
|33 + 1 = 34|
34 / 2 = 17
|4||Now, multiply the result of the third step by 3.||17 × 3 = 51|
|5||Ask how many integral times 9 divides into |
the latter product: suppose the answer to be b.
|b = 5|
(51 is not exactly divisible by 9)
|6||Then the number thought of was 2b + 1.||2b + 1 = 2 × 5 + 1 = 11|
This is a mathematical game that you can play with your friend Convolution several times. The final answer always ends up being one more than twice the quotient.