>>>Two days ago, I was 10 years old. Next year I'll be 13 years old. What date is it today?
>>
>>January 1 and your birthday is December 31
>>
>>Tamar
>
>Yes, that is correct.

No it's not. Today is february 9th. It's all in the formulation of the question.

Perhaps if the question would've been "What would have been the date when that statement was made ?" or something similar.

The only trick with that question is that the answer will change every day.