CEMC Cayley

Algebra Difficulty 1.9 Junior Find the answer

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

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Since the mean of five consecutive integers is 9, then the middle of these five integers is 9. Therefore, the integers are $7,8,9,10,11$ , and so the smallest of the five integers is 7.

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