Given that ABCD is a rational number, the absolute value of a minus B is less than or equal to 9, the absolute value of C minus D is less than or equal to 16, and the absolute value of a minus B minus C plus D is equal to 25, find the absolute value of B minus a minus D minus C

Given that ABCD is a rational number, the absolute value of a minus B is less than or equal to 9, the absolute value of C minus D is less than or equal to 16, and the absolute value of a minus B minus C plus D is equal to 25, find the absolute value of B minus a minus D minus C

-7.
Because | A-B | ≤ 9, so - 9 ≤ A-B ≤ 9
Because | C-D | ≤ 16, so - 16 ≤ C-D ≤ 16, so - 16 ≤ d-c ≤ 16
So - 25 ≤ a-b-c + D ≤ 25
If | a-b-c + D | = 25
|a-b|=9,|d-c|=16
So the difference is - 7

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