**Problem 10:**

$A, B, C, D, E, F$ are six children of different ages in the range of 11 to 16. It is known that C and F always speak truth whereas among the rest two are truthful and the other two lie. When they are asked about their ages, they replied as follows-

A: The sum of the ages of the other five is an even number.

B: A is the eldest.

C: The sum of the ages of the other five is divisible by 5.

D: E is elder than A by two years.

E: The sum of the ages of A, B, D, E is an odd number.

F: The sum of the ages of the other five is divisible by 5.

Find out: (i) What is the sum of the ages of C and F? (ii) Which two among these six children lie? (iii) What are the ages of A and E?