The middle-aged man is 53 years old.
How to solve
Identify prime numbers in the middle-aged range:
Consider prime numbers between 40 and 60, a typical middle-age span: 41, 43, 47, 53, 59.
Analyze the difference between consecutive primes:
Calculate the difference between each consecutive prime:
43 - 41 = 2
47 - 43 = 4
53 - 47 = 6
59 - 53 = 6
Find the matching difference:
The only pair with a matching difference (6) is 53 and 59.
Determine the age:
Since the difference on both sides of 53 is 6, the man's age is 53 years old.
Therefore, the middle-aged man is 53 years old.