If ABCD is a rational number, the absolute value of A-B is ≤ 9, the absolute value of C-D is ≤ 16, and the absolute value of a -- B-C + D is equal to 25, then the absolute value of B-A is subtracted The absolute value of d-c is equal to?

If ABCD is a rational number, the absolute value of A-B is ≤ 9, the absolute value of C-D is ≤ 16, and the absolute value of a -- B-C + D is equal to 25, then the absolute value of B-A is subtracted The absolute value of d-c is equal to?

|a-b|≤9,|c-d|≤16,
And 25 = | a-b-c + D | = | (a-b) + (d-c) | ≤| A-B | + | d-c | ≤ 9 + 16
Obviously, only "=" can be true in the above formula
It can be seen that A-B and d-c have the same sign, and | A-B | = 9, | d-c | = 16
So | B-A | - | d-c | = 9 - 16 = - 7