Let a, B and C be a three digit number of hundred, ten and one respectively, and a ≤ B ≤ C, then the maximum value that | A-B | + | B-C | + | C-A | can obtain is______ .

Let a, B and C be a three digit number of hundred, ten and one respectively, and a ≤ B ≤ C, then the maximum value that | A-B | + | B-C | + | C-A | can obtain is______ .

∵ a, B and C are three digit hundred, ten and one digit respectively, and a ≤ B ≤ C, ∵ a minimum is 1, C maximum is 9, ∵ A-B | + | B-C | + | C-A | = B-A + C-B + C-A = 2c-2a, ∵ A-B | + | B-C | + | C-A | the possible maximum value is 2 × 9-2 × 1 = 16