Six members of a family belong to three generations and were born in different years between 2002 and 2022. Their ages are calculated as of the year 2023. The spouse of Q has an age that is a prime number. S is the son of O's son. The difference between the oldest and youngest family member's ages is 15 years, which is also equal to the sum of the ages of Q and S. N is the sister-in-law of the person who is 4 years younger than the oldest member. The number of family members born after R is equal to the number born before Q. M is married and is R's nephew. The difference between the ages of O's sibling and O's son equals the age of Q's son. The ages of N and O are multiples of 7. The family has an equal number of males and females. The sum of the ages of M and S equals R's age. N is older than O.

What is the age of the oldest person in the family?

Question

Six members of a family belong to three generations and were born in different years between 2002 and 2022. Their ages are calculated as of the year 2023. The spouse of Q has an age that is a prime number. S is the son of O's son. The difference between the oldest and youngest family member's ages is 15 years, which is also equal to the sum of the ages of Q and S. N is the sister-in-law of the person who is 4 years younger than the oldest member. The number of family members born after R is equal to the number born before Q. M is married and is R's nephew. The difference between the ages of O's sibling and O's son equals the age of Q's son. The ages of N and O are multiples of 7. The family has an equal number of males and females. The sum of the ages of M and S equals R's age. N is older than O.

What is the age of the oldest person in the family?

Accepted Answer

**Solution:**

1. The ages are calculated as of 2023, and the birth years range from 2002 to 2022.

2. Given the difference between the oldest and youngest is 15 years, and this equals the sum of Q's and S's ages.

3. From the conditions, the ages of the family members are deduced as:
   - N: 21 years (born in 2002)
   - R: 17 years (born in 2006)
   - O: 14 years (born in 2009)
   - M: 11 years (born in 2012)
   - Q: 9 years (born in 2014)
   - S: 6 years (born in 2017)

4. Check the sum of Q and S: 9 + 6 = 15, which matches the difference between oldest and youngest (21 - 6 = 15).

5. N is older than O, and both N and O's ages are multiples of 7 (21 and 14 respectively).

6. The spouse of Q has a prime number age, which fits the given ages.

7. Other conditions about relationships and age differences are consistent with these ages.

**Answer:** 21 years

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