Eight persons D, M, P, B, R, S, T, and N belong to the same family and were born in different years among 1952, 1956, 1962, 1981, 1984, 1987, 2014, and 2017. Their ages are calculated as of the year 2023.

Given the following clues:

- N is the nephew of M's spouse.
- The age difference between N and N's mother is a multiple of 10.
- M's uncle's age is a prime number but he is not the oldest.
- The age difference between D and D's son is a prime number less than 30.
- The age difference between B and B's mother-in-law is a multiple of 5.
- The age difference between B and B's only sibling is one-third of N's age.
- M has a son and no sibling.
- M's uncle is not D.
- S is not married to B.
- M has a father.
- D has no sibling.
- P is the paternal grandmother of M's only son.
- P is also the grandmother of T.
- M's father has no sibling.
- M and N are of the same gender, which is different from S's gender.

The birth years and corresponding ages of the persons are:

| Person | Birth Year | Age in 2023 |
|--------|------------|-------------|
| P | 1952 | 71 |
| R | 1956 | 67 |
| D | 1962 | 61 |
| M | 1981 | 42 |
| S | 1984 | 39 |
| B | 1987 | 36 |
| N | 2014 | 9 |
| T | 2017 | 6 |

**Question:** What is the age of M's uncle?

Question

Eight persons D, M, P, B, R, S, T, and N belong to the same family and were born in different years among 1952, 1956, 1962, 1981, 1984, 1987, 2014, and 2017. Their ages are calculated as of the year 2023.

Given the following clues:

- N is the nephew of M's spouse.
- The age difference between N and N's mother is a multiple of 10.
- M's uncle's age is a prime number but he is not the oldest.
- The age difference between D and D's son is a prime number less than 30.
- The age difference between B and B's mother-in-law is a multiple of 5.
- The age difference between B and B's only sibling is one-third of N's age.
- M has a son and no sibling.
- M's uncle is not D.
- S is not married to B.
- M has a father.
- D has no sibling.
- P is the paternal grandmother of M's only son.
- P is also the grandmother of T.
- M's father has no sibling.
- M and N are of the same gender, which is different from S's gender.

The birth years and corresponding ages of the persons are:

| Person | Birth Year | Age in 2023 |
|--------|------------|-------------|
| P      | 1952       | 71          |
| R      | 1956       | 67          |
| D      | 1962       | 61          |
| M      | 1981       | 42          |
| S      | 1984       | 39          |
| B      | 1987       | 36          |
| N      | 2014       | 9           |
| T      | 2017       | 6           |

**Question:** What is the age of M's uncle?

Accepted Answer

**Solution:**

1. The ages of all persons as of 2023 are given, and the birth years correspond accordingly.

2. M's uncle's age is a prime number but he is not the oldest. The oldest person is P (71 years), so M's uncle cannot be 71.

3. The prime numbers among the ages are 67 (R), 61 (D), 42 (not prime), 39 (not prime), 36 (not prime), 9 (not prime), 6 (not prime).

4. M's uncle is not D, so D (61) is excluded.

5. Thus, M's uncle must be R, who is 67 years old.

6. This fits the condition that M's uncle is prime-aged (67) and not the oldest (71).

**Answer:** 67 years

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