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How is it done?

Well, there are only so many results you can have by subtracting one number by another. It'll probably just look through a database of numbers and look for one that contains two of the numbers you've given it. The third number in that number in the database would be the one you circled?
 
The difference will always be divisible by 9. And any number divisible by 9 has digits that sum up to 9.
 
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