Read the information carefully and answer the question given below. Seven…

Concept

In an age-and-year puzzle, a person's age in a fixed base year is found by subtracting the birth year from the base year. Once every age is known, the verbal clues become numeric equations and divisibility/prime conditions that you test against the fixed set of ages until exactly one assignment of people to ages survives.

Step 1 — Convert birth years to ages (base year 2025)

Age = 2025 − (birth year), giving the fixed age set:

• 1947 → 78

• 1959 → 66

• 1964 → 61

• 1973 → 52

• 1978 → 47

• 1988 → 37

• 2001 → 24

Step 2 — Apply the clues in order

1. G's age is divisible by 6. Among {78, 66, 61, 52, 47, 37, 24}, the multiples of 6 are 78, 66 and 24, so G is one of these.

2. A + G is a prime number, and B + A is divisible by 5. Testing the allowed G values against the remaining ages, A = 47 with G = 66 gives A + G = 113 (prime) and B = 78 with B + A = 125 (divisible by 5).

3. A is just older than F, i.e. A's age is the next age immediately above F's in the sorted list. With A = 47, the age just below it is 37, so F = 37.

4. C + F = D. The ages still free are 24, 52 and 61. Choosing C = 24 gives C + F = 24 + 37 = 61, which is an available age, so D = 61 and E = 52.

Step 3 — Final assignment

• A = 47, B = 78, C = 24, D = 61, E = 52, F = 37, G = 66.

Step 4 — Answer the question

Difference between the ages of C and D = |24 − 61| = 37 years.

Cross-check

C + F = 24 + 37 = 61 = D ✓; G = 66 is divisible by 6 ✓; A + G = 113 is prime ✓; B + A = 125 is divisible by 5 ✓; 47 is immediately above 37 in the sorted ages, so A is just older than F ✓. All clues hold, so the assignment is unique.