53. 

One day, Alice met both brothers and asked one of them: "Do you lie on Sundays?" That one answered: "Yes!" Then she asked the same question to the other brother. What did he answer?

54. 

On another occasion, the brothers made the following statements:

First. 1) I lie on Saturdays.

2) I lie on Sundays.

Second. I will lie tomorrow.

On which day of the week was this?
53. The first answer was deliberately false. Therefore, Alice's meeting with the two brothers took place on a weekday. But then the other brother must have given the truthful answer and said: "No".