# Sum of Reciprocals

Algebra Level 5

$$9$$ distinct positive integers are given, such that the sum of their reciprocals is equal to $$1$$. If $$5$$ of these integers are $$3, 7, 9, 11$$ and $$33$$, and the other $$4$$ integers all have a units digit of $$5$$, what is the sum of these $$9$$ integers?

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