Let $S$ be the set of all positive integers $n$ such that $\frac{n^2 + 7n + 24}{n + 2}$ is an integer. What is the sum of all elements in $S$?

[GMAT Focus] Number Properties Trap Dissection | AceThePrep

GMAT FocusQuantitative ReasoningNumber Properties

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Let be the set of all positive integers such that is an integer. What is the sum of all elements in ?

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