Average of any five consecutive odd numbers is 29. If next three consecutive odd numbers are also added then find the new average.

32

Average of consecutive numbers is always the middle number.

Therefore, ATQ

Five consecutive odd numbers are:

⇒ 25 , 27, 29, 31, 33

IF we add next 3 more consecutive odd numbers, the the numbers are:

⇒ 25 , 27, 29, 31, 33, 35, 37, 39

Then the average of eight numbers will be the middle value = 32

OR

Average =  \(\frac{1st\;+\;Last\;number}{2}\) = \(\frac{25\;+\;39}{2}\) = \(\frac{64}{2}\) = 32

Alternate Short cut Method:

*Total consecutive odd/even number added = Increased average*

Hence, if 3 consecutive odd number are added, then the average also increased by 3.

Therefore,

New average = 29 + 3 = 32