Given below is a question followed by two statements numbered I and II, each containing some information. Decide which of the statement(s) is/are sufficient to answer the question.
The sum of ages of A, B and C is 65 years. What is B's age?
Statements:
I. B is 15 years younger than A.
II. C is 40 years old.
Statement: I. B is 15 years younger than A. This statement alone is not sufficient to determine B's age because it provides a relationship between the ages of A and B, but we need the actual age of A or B to find B's age. II. C is 40 years old. This statement alone is not sufficient either because knowing C's age does not provide any information about B's age or the relationship between A and B. Now, let's combine the statements: If we know that C is 40 years old (Statement II) and we also know the relationship between the ages of A and B (Statement I), we can find B's age. However, if we only know Statement I or Statement II alone, it is not sufficient to determine B's age. Therefore, the answer is both statements together (I and II) are required to answer the question.
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