Average of 7 consecutive odd numbers is 31. If the previous and next odd number to these 7 odd numbers are also included, then what will be the new average?

Solution(By Examveda Team)

∵ Average of 7 consecutive odd numbers = 31
∴ Mid odd number = fourth term = 31
So, seven consecutive number
\[ = \begin{array}{*{20}{c}} {25}&{27}&{29}&{31}&{33}&{35}&{37} \\ \leftarrow & \leftarrow & \leftarrow &{}& \to & \to & \to \\ { - 2}&{ - 2}&{ - 2}&{}&{ + 2}&{ + 2}&{ + 2} \end{array}\]
According to the question,
Previous number will be = 25 - 2 = 23
And next odd number will be = 37 + 2 = 39
Average $$ = \frac{{23 + 39}}{2} = \frac{{62}}{2} = 31$$
∴ Average will remain same because 2 subtracted in previous and 2 added in the next number.