Question 105

The sum of the averages of three consecutive odd numbers and three consecutive even numbers is 21. If the highest even number is 16, what is the lowest odd number?

Solution

We know that he highest even number is 16.
The three consecutive even numbers are 12, 14, 16.
Their average = 14
Let the average of 3 consecutive odd numbers be 'a'
a + 14 = 21
a = 7
The required odd numbers are 5, 7, 9


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