In a family, there are six members named K, L, M, N, O and P. N's age is three times the age of
L. The age of O is equal to the total age of L and
M. P's age is equal to the total age of K and N. K's age is half the age of
M. P is one year elder than O. The sum of the ages of K and M is 45 years. The sum of ages of N and L is 32 years. Which of the following is true based on the given information?
I. The age of P is 41 years.
II. O is 21 years elder than K.