According to me, this question has two possible answers. On breaking 2021 into factors, we get 1, 43, 47 and 2021. Now, (x, y) could either be (45, 2) or (1011, 1010), and the difference of the squares would be the same and equal to 2021. However, the sum of the two would be 47 and 2021.

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And you’re right - thanks for reporting the bug. The question is faulty and hence has been taken down.