a. B, C are three digit hundreds, tens and ones, and a Who can help me? My wealth is zero

a. B, C are three digit hundreds, tens and ones, and a Who can help me? My wealth is zero

Because a is not greater than B, B is not greater than C, so | A-B | + | B-C | + | C-B | = (B-A) + 2 (C-B) = 2c-b-a
In order to maximize the value, the larger C is, the better, and the smaller A and B are, the better. Therefore, C takes the number 9, a is a three digit hundred, and cannot be 0, so a takes 1, B is not less than a, and also takes 1
When the maximum value is 119, the absolute sum is 0 + 8 + 8 = 2x9-1-1 = 16