Finding the Day of the Week

Problem:

Given that there are 7 days in a week, find the day of the week that your uncle will come after 45 days.

Solution:

Using Modular Arithmetic:

We can use modular arithmetic to solve this problem. The modulo operation (%) represents the remainder when one number is divided by another. In this case, we want to find the remainder when 45 is divided by 7 (the number of days in a week):

45 % 7 = 3

Therefore, your uncle will come on the third day of the week after 45 days.

Conclusion:

Using modular arithmetic, we found that the remainder when 45 is divided by 7 is 3. This means that your uncle will come on the third day of the week after 45 days. The day of the week can be determined by adding 3 to the current day of the week.