30B-A3B-what-day-is-it

>>> If today is Friday, what days of the week are the day after the day after tomorrow, and the day before the day before yesterday?

<think>
Okay, let's see. The problem says, "If today is Friday, what days of the week are the day after the day after tomorrow, and the
day before the day before yesterday?" Hmm, I need to figure out these two days. Let me break it down step by step.

First, let me confirm today's day. It's given as Friday. So, let's note that down:

- Today: Friday

Now, the question has two parts. Let me tackle them one by one.

**First part: The day after the day after tomorrow.**

Let me parse that. "The day after the day after tomorrow." So, starting from today, let's figure out what "tomorrow" is. If
today is Friday, then tomorrow is Saturday. Then, the day after tomorrow would be Sunday. Wait, but the question says "the day
after the day after tomorrow." So, first, the day after tomorrow is Sunday, and then the day after that would be Monday? Wait,
let me check again.

Wait, maybe I should think of it as: "day after [day after tomorrow]". So, "day after tomorrow" is two days from today. So, if
today is Friday, then tomorrow is Saturday (1 day ahead), day after tomorrow is Sunday (2 days ahead). Then, the day after that
(the day after the day after tomorrow) would be Monday. So, that's 3 days from today. So, Friday + 3 days is Monday. Let me
confirm:

- Friday (today)
- Saturday (tomorrow)
- Sunday (day after tomorrow)
- Monday (day after the day after tomorrow)

Yes, that seems right. So the first part is Monday.

**Second part: The day before the day before yesterday.**

Okay, let's parse that. "The day before the day before yesterday." So, starting from today, "yesterday" is Thursday. Then, the
day before yesterday would be Wednesday. Then, the day before that (the day before the day before yesterday) would be Tuesday.
Let me check again.

Alternatively, maybe breaking it down step by step:

- Today: Friday
- Yesterday: Thursday
- Day before yesterday: Wednesday
- Day before the day before yesterday: Tuesday

Yes, that seems correct. So, the day before the day before yesterday is Tuesday.

Wait, let me make sure I didn't mix up the order. The phrase is "the day before the day before yesterday." So, the "day before
yesterday" is Wednesday, so "the day before [day before yesterday]" is Tuesday. Correct.

Alternatively, another way to think about it is: "day before yesterday" is two days before today. So, two days before Friday is
Wednesday. Then, the day before that is Tuesday. So, that's consistent.

So, putting it all together:

- The day after the day after tomorrow is Monday.
- The day before the day before yesterday is Tuesday.

Wait, but let me check again to be absolutely sure. Sometimes with these time phrases, it's easy to get confused.

For the first part:

- Day after the day after tomorrow.

Let me think of "the day after tomorrow" as +2 days. Then, "the day after [that]" is +3 days. So, Friday + 3 days is Monday.
Correct.

For the second part:

- "The day before the day before yesterday."

"Day before yesterday" is -2 days. Then, "the day before [that]" is -3 days. So, Friday - 3 days is Tuesday. Correct.

Yes, that seems to check out. Let me just list the days of the week to visualize:

Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.

If today is Friday, then:

- Tomorrow: Saturday
- Day after tomorrow: Sunday
- Day after that (the day after the day after tomorrow): Monday

For the other part:

- Yesterday: Thursday
- Day before yesterday: Wednesday
- Day before that (the day before the day before yesterday): Tuesday

Yes, that's correct. So the two days are Monday and Tuesday.

I think that's it. I don't see any mistakes in my reasoning. Let me just confirm once more with another approach.

Another way to think about it is using modular arithmetic. Let's assign numbers to days, where Friday is 0, Saturday is 1,
Sunday is 2, Monday is 3, Tuesday is 4, Wednesday is 5, Thursday is 6. Wait, but sometimes people start with Monday as 0 or
Sunday. Maybe better to assign numbers in order:

Let me assign:

0: Friday

1: Saturday

2: Sunday

3: Monday

4: Tuesday

5: Wednesday

6: Thursday

But actually, it's arbitrary, but let's stick with this.

So, today is 0 (Friday).

First part: day after the day after tomorrow.

"Tomorrow" is 1 (Saturday). "Day after tomorrow" is 2 (Sunday). Then, the day after that is 3 (Monday). So, 3 corresponds to
Monday. Correct.

Second part: day before the day before yesterday.

"Yesterday" is -1 (Thursday). "Day before yesterday" is -2 (Wednesday). Then, the day before that is -3. But since we are
working modulo 7, -3 is equivalent to 4 (since 7 - 3 = 4). Which is Tuesday. So, 4 corresponds to Tuesday. Correct.

So, using modular arithmetic, the answers are Monday and Tuesday.

Therefore, I can be confident that the answers are Monday and Tuesday.

**Final Answer**
The day after the day after tomorrow is \boxed{Monday} and the day before the day before yesterday is \boxed{Tuesday}.
</think>

To determine the days of the week in question, we start by identifying today as **Friday**.

---

### 1. **The day after the day after tomorrow**

Let's break this down step by step:

- **Tomorrow** is **Saturday** (1 day after Friday).
- **The day after tomorrow** is **Sunday** (2 days after Friday).
- **The day after that** (i.e., the day after the day after tomorrow) is **Monday** (3 days after Friday).

So, the day after the day after tomorrow is **Monday**.

---

### 2. **The day before the day before yesterday**

Again, breaking it down:

- **Yesterday** was **Thursday** (1 day before Friday).
- **The day before yesterday** was **Wednesday** (2 days before Friday).
- **The day before that** (i.e., the day before the day before yesterday) is **Tuesday** (3 days before Friday).

Thus, the day before the day before yesterday is **Tuesday**.

---

### Final Answer:

- The day after the day after tomorrow is \boxed{Monday}
- The day before the day before yesterday is \boxed{Tuesday}

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