Brain Teasers
The Four Men's Ages
Al, Ben, Carl, and Dan are all different ages. The tens digits of their ages are 2, 3, 4, and 5, though not necessarily in that order. The ones digits of their ages are 2, 3, 4, and 5, also not necessarily in that order. One of them is 42 years old. The tens digit of Al's age is 2, the tens digit of Ben's age is 3, and the ones digit of Carl's age is 4. The ones digit of Al's age is not 5. How old is each man?
Answer
Al is 23, Ben is 35, Carl is 54, and Dan is 42.The 42-year-old cannot be Al, Ben, or Carl, so it must be Dan.
The ones digit of Al's age isn't 5, nor is it 4 (Carl) or 2 (Dan), so it must be 3. Therefore, Al is 23.
The ones digit of Ben's age isn't 3 (Al), 4 (Carl), or 2 (Dan), so it must be 5. Therefore, Ben is 35.
The tens digit of Carl's age isn't 2 (Al), 3 (Ben), or 4 (Dan), so it must be 5. Therefore, Carl is 54.
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