Two consecutive

I am thinking of two consecutive natural numbers from 1 to 10 inclusive. To student 1 I whisper one of these numbers, to student 2 I whisper the other one. The students know that I whisper numbers from 1 to 10 to them, but they do not know the number which I whisper to the other one. Then the following dialogue takes place between them:
1: I do not know your number.
2: Nor do I know your number.
1: Now I know it already.
2: Yeah, me too.
What numbers could I have told each of the two, so that the dialogue could take place as described? There are several solutions.

Final Answer:

a =  2
b =  2

Step-by-step explanation:

a=2
b=a=2



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