6174 is a Kaprekar constant. Kaprekar number follows the rule that if you take a 4 digit number
and arrange its digit in descending (1st number) and ascending order (2nd number) and subtract
2nd from 1st to obtain another number. Continue this for the next number and so on. Eventually
6174 becomes a constant. For example:
5644 :
6544 - 4456 = 2088
8820 - 0288 = 8532
8582 - 2358 = 6174
7641 - 1467 = 6174
and in this way,6174 will continue.
A 2 digit number is chosen at random and subjected to Kaprekar proccess. The probability
that it will not end up in 2 digil's Kaprekar constant in the simplified form becomes
pand q are co primes.
P where
What is the value of p + q?
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