# The Plot Thickens

**Logic**Level 3

Neil chose two distinct integers from 1 to 9 inclusive.

He told Sam only the sum of these two integers, and Patrick only the product.

But Neil let both Sam and Patrick know that the numbers came from 1 to 9 inclusive.

The following conversation occurs:

Patrick: "I don't know the numbers."

Sam: "I don't know the numbers."

Patrick: "Now I know the numbers."

Sam: "But I still don't know the numbers."

Patrick: "Well, if it helps, the absolute difference between your number and my number is larger than 1."

Sam: "Now, I know the numbers too!"

Which of the following is definitely one of Neil's number?

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

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