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?
BdMO National Primary 2011/10 (Junior 2011/3)
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
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Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Re: BdMO National Primary 2011/10 (Junior 2011/3)
1)the sum of the ages of C and F is 27. 
2) B and E is telling lie. 3) A is 13 and E is 15 years old.
2) B and E is telling lie. 3) A is 13 and E is 15 years old.