Average of eight consecutive odd numbers is 216. What is the third number in ascending order? Options :209215217none of these

The average of a set of consecutive numbers is the middle number. In this case, the average of eight consecutive odd numbers is 216, which is the middle number.

Since odd numbers increase by 2 each time, we can find the third number by subtracting 10 from the average (because the third number is 5 steps away from the middle number, and each step is an increase of 2).

So, 216 - 10 = 206.

However, 206 is not an odd number. The next odd number after 206 is 207.

But 207 is not in the options. So, the correct answer is "none of these".

The average of a set of consecutive numbers is the middle number. Since we have eight consecutive odd numbers, the average (216) is the middle value between the 4th and 5th numbers.

Odd numbers increase by 2 each time, so the 4th number before 216 is 216 - 42 = 208 and the 5th number is 216 - 52 = 206.

However, these are even numbers, and we are looking for odd numbers. So, the 4th odd number before 216 is 209 and the 5th odd number is 207.

Therefore, the third number in ascending order is 209.