Directions: Read the following information carefully and answer the question given below.

Seven individuals — A, B, C, D, E, F, and G — were born on the same date and month across seven different years: 1955, 1962, 1971, 1980, 1992, 2003, and 2014. Calculate their ages taking 2024 as the base benchmark year.

B’s age is a two-digit even number less than 15. E is 11 years older than B. G is 11 years older than E. Exactly two persons were born between G and A. D is older than A. F is older than C.

What is the difference between the ages of F and B?

The correct answer is 43 years.

Step 1: Calculate the age of each individual taking 2024 as the base benchmark year.
Subtracting each birth year from 2024 gives:

$2024-1955=69\text{years}$

$2024-1962=62\text{years}$

$2024-1971=53\text{years}$

$2024-1980=44\text{years}$

$2024-1992=32\text{years}$

$2024-2003=21\text{years}$

$2024-2014=10\text{years}$

The possible ages in ascending order are 10, 21, 32, 44, 53, 62, and 69.

Step 2: Determine the birth years and ages of each individual using the given clues.

1. B's age: B’s age is a two-digit even number less than 15.
From the list of available ages, the only two-digit even number less than 15 is 10.
Therefore, B was born in 2014 and is 10 years old.

2. E's age: E is 11 years older than B.

$\text{Age of E}=10+11=21\text{years (born in 2003)}$

3. G's age: G is 11 years older than E.

$\text{Age of G}=21+11=32\text{years (born in 1992)}$

4. A's age: Exactly two persons were born between G and A.
The chronological order of birth years is 1955, 1962, 1971, 1980, 1992, 2003, and 2014.
Since G was born in 1992, counting two birth years prior to G (1980 and 1971), A must have been born in 1962.
Therefore, A is 62 years old.

5. D's age: D is older than A.
The only birth year earlier than 1962 is 1955.
Thus, D was born in 1955 and is 69 years old.

6. F and C's ages: F is older than C.
The remaining unassigned birth years are 1971 and 1980.
Since F is older than C, F was born in 1971 (Age = 53 years) and C was born in 1980 (Age = 44 years).

Summary of Individuals:
• D: Born in 1955 (69 years old)
• A: Born in 1962 (62 years old)
• F: Born in 1971 (53 years old)
• C: Born in 1980 (44 years old)
• G: Born in 1992 (32 years old)
• E: Born in 2003 (21 years old)
• B: Born in 2014 (10 years old)

Step 3: Calculate the difference between the ages of F and B.

$\text{Difference}=\text{Age of F}-\text{Age of B}=53-10=43\text{years}$