Step 1: Let today be \(T\).
Given: Thursday falls 2 days after tomorrow.
Tomorrow = \(T + 1\) day
Two days after tomorrow = \(T + 3\) days
Given this day is Thursday. So,
\[
T + 3 = \text{Thursday}
\]
Step 2: Find what day \(T\) is:
Counting backwards,
If \(T + 3 = \text{Thursday}\), then \(T = \text{Thursday} - 3\) days
Days before Thursday: Wednesday (1), Tuesday (2), Monday (3)
So, \(T = \text{Monday}\)
Step 3: Find the day 3 days before yesterday.
Yesterday = \(T - 1 = \text{Sunday}\)
Three days before yesterday = \(T - 4 = \text{Monday} - 4\) days
Counting backwards from Monday:
Sunday (1), Saturday (2), Friday (3), Thursday (4)
So, three days before yesterday was Thursday.