In the following questions, a question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions.
Is $$x + y$$ a positive integer?
I) $$x+3$$ is equal to the larger root of $$x^{2} - 16 = 0$$
II) $$y+3$$ is the real root of $$x^{3} + 27 = 0$$
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