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If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum of the 3 greatest of...

Solution

Let the five numbers which are in arithmetic progression be a − 2, a − 1, a, a + 1 and a + 2 (such that a − 2 > 0)Given arithmetic mean of the 5 numbers = xThen sum of the 5 numbers = 5xTherefore, (a − 2) + (a − 1) +...

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