The following is a conversation between Gabriel and Heather:

**Gabriel:** "I am thinking of two distinct single-digit numbers. Can you guess the sum of these two numbers?"

**Heather:** "No. Can you give me a clue?"

**Gabriel:** "The last digit of the product of the two numbers is your house number."

**Heather:** "Now I know the sum of the two numbers."

So, what is the sum of the two numbers?

Note: It is possible that the product of the two numbers is a single-digit.

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