- #1
checkitagain
- 138
- 1
Ask someone to pick 4 digits, but not all of them be the same.
Zeroes are allowed as digits
Form the largest number possible and the smallest number
possible, including annexing any 0-digits to the left,
Subtract the smaller number from the larger number,
Write the difference as a 4-digit number, with any zeroes
written on the left as part of the difference. Then,
again, form the largest number and the smallest numbers
possible, respectively, and subtract them. Repeat the
process as above.
Keep repeating this process until the resulting number
doesn't change anymore.
Then tell the person that their final number they end up
with is 6174.
Example:
The person chooses 0, 0, 0, and 1.
1000
-0001
------
0999
Then:
9990
-0999
------
8991
And then the person who chose the digits would continue
in this manner until one unchanging number is reached...
Zeroes are allowed as digits
Form the largest number possible and the smallest number
possible, including annexing any 0-digits to the left,
Subtract the smaller number from the larger number,
Write the difference as a 4-digit number, with any zeroes
written on the left as part of the difference. Then,
again, form the largest number and the smallest numbers
possible, respectively, and subtract them. Repeat the
process as above.
Keep repeating this process until the resulting number
doesn't change anymore.
Then tell the person that their final number they end up
with is 6174.
Example:
The person chooses 0, 0, 0, and 1.
1000
-0001
------
0999
Then:
9990
-0999
------
8991
And then the person who chose the digits would continue
in this manner until one unchanging number is reached...
Last edited: