M is 2 years older than P. L is 2 years older than O. O's age is the average of the ages of L and N, P's age is the average of the ages of L and M and L's age is the average of P and O. Who is the youngest?

Given,

M is 2 years older than P.

$$\Rightarrow$$  M > P

L is 2 years older than O

$$\Rightarrow$$  L > O

O's age is the average of the ages of L and N which means O's age lies between L and N.

$$\Rightarrow$$  L > O > N ...........(1)

P's age is the average of the ages of L and M which means P's age lies between L and M.

$$\Rightarrow$$  M > P > L ...........(2)

Combining (1) and (2)

M > P > L > O > N

$$\therefore\ $$N is the youngest person

Hence, the correct answer is Option C