In a Mathematics examination the number scored by 5 candidates are 5 successive odd integers. If their total marks are 185, the highest score is :

Solution (By Examveda Team)

Let the five successive odd number be,
x, x + 2, x + 4, x + 6, x + 8
Then, according to given information,
185 = x + x + 2 + x + 4 + x + 6 + x + 8
$$\eqalign{ & \Leftrightarrow 185 = 5x + 20 \cr & \Leftrightarrow 5x = 185 - 20 \cr & \Leftrightarrow 5x = 165 \cr & \Leftrightarrow x = 33 \cr} $$
Highest number = 33 + 8 = 41