How much greater is the square of the sum of three different positive integers than the sum of their squares?

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How much greater is the square of the sum of three different positive integers than the sum of their squares?

(1) The sum of the products of all possible pairs of two different integers out of the original set of three is 61.

(2) The largest of the three integers, 7, is equal to the sum of the two smaller integers.


OA A

Source: Manhattan Prep