The average of five consecutive even numbers is 14. What is the smallest of these numbers? Options 6 10 8 12
Question
The average of five consecutive even numbers is 14. What is the smallest of these numbers?
Options
- 6
- 10
- 8
- 12
Solution
The five consecutive even numbers can be represented as (n-8), (n-6), (n-4), (n-2), n.
Given that the average of these numbers is 14, we can set up the equation:
[(n-8) + (n-6) + (n-4) + (n-2) + n] / 5 = 14
Solving this equation gives us:
5n - 20 = 70
5n = 90
n = 18
So, the numbers are 10, 12, 14, 16, 18.
Therefore, the smallest of these numbers is 10.
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