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The mean (average) of 5 consecutive integers is 9. The smallest of these 5 integers is

Question

The mean (average) of 5 consecutive integers is 9. The smallest of these 5 integers is

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Solution

The mean (average) of 5 consecutive integers is 9. This means that the sum of these 5 integers is 5*9 = 45.

Consecutive integers increase by 1 for each step. So, if the mean is 9, the middle number of these 5 consecutive integers is also 9.

The five numbers are therefore 7, 8, 9, 10, and 11.

So, the smallest of these 5 integers is 7.

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