Eight days after the day before yesterday is Friday. Which day of the week is
tomorrow?
A. Friday
B. Saturday
C. Sunday
D. Thursday
E. None of the above

Question

Eight days after the day before yesterday is Friday. Which day of the week is tomorrow? A. Friday B. Saturday C. Sunday D. Thursday E. None of the above

UpStudy AI · Accepted Answer

Let $$ T $$ be today. Then the day before yesterday is $$ T - 2 $$.

According to the problem, eight days after the day before yesterday is Friday, so we have:
$$
(T - 2) + 8 = T + 6 = \text{Friday}
$$

This means that:
$$
T + 6 \equiv \text{Friday} \pmod{7}
$$

Subtracting 6 (modulo 7) from both sides, we obtain:
$$
T \equiv \text{Friday} - 6 \pmod{7}
$$

Since subtracting 6 modulo 7 is equivalent to subtracting 6 days (i.e., going back 6 days):
$$
T \equiv \text{Saturday} \quad (\text{because } \text{Friday} - 6 \text{ days is Saturday})
$$

Thus, today is Saturday and tomorrow is:
$$
T + 1 = \text{Sunday}
$$

The answer is $$\boxed{\text{Sunday}}$$.
Tomorrow is Sunday.

Eight days after the day before yesterday is Friday. Which day of the week is
tomorrow?
A. Friday
B. Saturday
C. Sunday
D. Thursday
E. None of the above

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