Suppose that the three digits that make up the original three digits are a, b, c and a >; respectively; b & gtc,
The largest three digits are abc= 100a+ 10b+c,
The smallest three digits are cba= 100c+ 10b+a,
So abc-cba
=( 100 a+ 10 b+c)-( 100 c+ 10 b+a)
=99 (AC)
Because 2≤a-c≤9
So the possible values of the first three digits are:
198,297,396,495,594,693,792,89 1,
Because 981-189 = 792 ≠198,
So the original three digits are not equal to 198,
After verification, the original three digits are not equal to 297,396,594,693,792,891,
So the first three digits are 495,
954-459=495.
A: The original number was 495.