Final answer:
Tom said that New York was livelier than London is how you would report Tom's words in reported speech, remembering to shift the tense and adjust pronouns as necessary.
Step-by-step explanation:
The sentence "Tom said, 'New York is livelier than London.'" when changed into reported speech becomes: Tom said that New York was livelier than London. When converting direct speech into reported speech, it is important to pay attention to the tense shift often required due to the time difference between when the original words were spoken and when they are being reported. Additionally, the reporting verb may be adjusted to fit the context, and personal pronouns may also change according to the perspective.