Suppose today is Tuesday. What day of the week will it be 100 days from now?

tabita57i

tabita57i

Answered question

2020-12-05

Suppose today is Tuesday. What day of the week will it be 100 days from now?

Answer & Explanation

lamanocornudaW

lamanocornudaW

Skilled2020-12-06Added 85 answers

The days of the week repeat every 7 days. This means that every multiple of 7, the day repeats. The greatest number that is less than 100 and is a multiple of 7 is 98 which means that 98 days from now, it is Tuesday. Hence, we can easily determine that 100 days from Tuesday, the day is Thursday by adding 2 more days.
nick1337

nick1337

Expert2023-06-14Added 777 answers

Step 1: Define the given information:
Let T be Tuesday.
Step 2: Determine the number of days from the given day:
We need to find the day of the week after 100 days. Since each week has 7 days, we can divide 100 by 7 and find the remainder to determine the day of the week.
100mod7=2
Step 3: Calculate the final day of the week:
Starting from Tuesday, we count 2 days ahead to find the final day of the week.
T+2=Thursday
Therefore, 100 days from today (Tuesday) will be Thursday.
Don Sumner

Don Sumner

Skilled2023-06-14Added 184 answers

Result:
100 days
Solution:
Let's denote the day of the week after 100 days as x. Using modular arithmetic, we can write:
x(2+100)mod7
The expression (2 + 100) calculates the total number of days that have passed, and the modulus operator % 7 gives us the remainder when dividing by 7.
To simplify the equation, we can perform the addition first:
x102mod7
Now we can find the remainder when 102 is divided by 7. We have:
x2mod7
This means that 100 days from today, it will be the same day of the week as today, which is Tuesday.
Therefore, 100 days from today will also be a Tuesday.

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