Final answer:
Thomas's age is 32 years.
Step-by-step explanation:
In this problem, we are given that Hulian is 13 years older than Thomas and the sum of their ages is 77. Let's assume Thomas's age as x. Based on the information given, Hulian's age can be represented as x + 13. The sum of their ages is 77, so we can write the equation as x + (x+13) = 77.
Simplifying this equation, 2x + 13 = 77. Subtracting 13 from both sides, we get 2x = 64. Dividing both sides by 2, we find x = 32.
Therefore, Thomas's age is 32 years. Hence, the correct answer is (a) 32.