When asked what your parent's phone number is, you cannot repeat it, but a moment later you can dial it from memory without looking it up. In this case, which memory system has served you well?

Procedural memory

Explanation:

Procedural memory can be described as a type of long-term memory which stores information for how certain actions or procedures are performed. In the   scenario described in the question, we are able to dial the number of parents through memory because our procedural memory has memorized the procedure of dialing parents number. Hence, we are able to dial the number even when we are not able to repeat it.

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