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If the average (arithmetic mean) of \(n\) consecutive odd integers is \(10,\) what is the least of the integers?

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If the average (arithmetic mean) of \(n\) consecutive odd integers is \(10,\) what is the least of the integers?

(1) The range of the \(n\) integers is \(14.\)

(2) The greatest of the \(n\) integers is \(17.\)

Answer: D

Source: Official Guide