Pick A Number.
Thanks
Explain It
Choose any number
between 11 and 99.
Example: 59
Repeat
this number
two
more times to obtain a six digit number.
Example:
595959
Using
a
calculator,
divide this number by 37
Example:
595959 / 37 = 16107
Divide
the answer
by 13.
Example:
16107 / 13 = 1239
Divide
this number
by 7.
Example:
1239 / 7 = 177
Divide
this number
by 3
177 /
3 = 59
Question:
How this is possible?
Answer:
This is a clever mathematical trick that takes advantage of the properties of the numbers involved.
Let's analyze the steps:
1. You choose a two-digit number between 11 and 99.
Example: 59
2. Repeat this number two more times to obtain a six-digit number.
Example: 595959
3. Using a calculator, divide this number by 37.
Example: 595959 / 37 = 16107
4. Divide the answer by 13.
Example: 16107 / 13 = 1239
5. Divide this number by 7.
Example: 1239 / 7 = 177
6. Divide this number by 3.
Example: 177 / 3 = 59
Now, let's understand why the final result is always the original two-digit number.
The trick lies in the fact that 37 * 13 * 7 * 3 = 69,069, which is a
multiple of 11.
When you start with a two-digit number, repeat it three times, and then
go through the divisions by 37, 13, 7, and 3, you are essentially
canceling out the factors of 37, 13, 7, and 3, leaving you with the
original two-digit number as the result.
So, it's a mathematical curiosity based on the specific numbers chosen and their relationships to each other.