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Dean Sam and Castiel are three brothers. Interestingly their current age is prime. What's more interesting that difference between their ages is also prime. How old are they ?

Sam : 2 Dean : 5 Castiel : 7 Age diff 7 - 2 = '5' is prime 7 - 5 = '2' is prime 5 - 2 = '3' is prime

Why this works

This riddle cleverly uses the concept of prime numbers, which are numbers greater than 1 that have no positive divisors other than 1 and themselves. The ages of Dean, Sam, and Castiel are all prime numbers (2, 5, and 7), and the riddle highlights an additional layer: the differences between their ages must also be prime. When we calculate the age differences—7 - 2 = 5, 7 - 5 = 2, and 5 - 2 = 3—we find that all these differences are indeed prime numbers as well. This not only fulfills the riddle's conditions but also showcases how numbers can interact in unexpected ways.

Common Wrong Answers

“1, 3, 5”

While all the ages (1, 3, 5) are prime, the age differences are not all prime. The differences are 2 (which is prime) and 2 (which is prime), but the age of 1 is not a valid age since it implies a non-adult, which doesn't fit the context.

“3, 4, 7”

The ages 3, 4, and 7 include a non-prime age (4), which disqualifies this set. Additionally, the age differences are 4 (not prime) and 3 (prime), failing the prime age difference criteria.

“2, 3, 6”

Although 2 and 3 are prime, 6 is not. Furthermore, the age differences include 4 (6-2) and 3 (6-3), where 4 is not a prime number, which violates the requirements of the riddle.

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