.
1.If today is Friday,
a. What day of the week will it be 25 days from now?
b. What day of the week was it 32 days ago?
2. Valentine's Day (Feb. 14) fell on Tuesday in 2017. On what day of the week will Valentine's Day fall in 2032?
~~~~~~~~~~~~~~~~~~~~~~~~~
(1a) What day of the week will it be 25 days from now?
Then the 7-th day from now is Friday, again;
the 14-th day from now is Friday, again;
the 21-th day from now is Friday, again;
the 22-th day is Saturday; the 23-th day is Sunday; the 24-th day is Monday
and the 25-th day is Tuesday. <<<---=== ANSWER
(1b) What day of the week was it 32 days ago?
Then the 7-th day ago was Friday, again;
the 14-th day ago was Friday, again;
the 21-th day ago was Friday, again;
the 28-th day ago was Friday, again;
the 29-th day ago was Thursday; the 30-th day ago was Wednesday; the 31-th day ago was Tuesday
and the 32-th day ago was Monday. <<<---=== ANSWER
(2) Valentine's Day (Feb. 14) fell on Tuesday in 2017. On what day of the week will Valentine's Day fall in 2032 ?
Let's forget about leap years - we will count them later.
So, let's count 365 days per year.
Notice that a 365-days year is 52 weeks PLUS 1 day.
Counting this way, in 7 years from Feb.14,2017, i.e. Feb.14, 1024, it would be Tuesday, again
(seven fractional parts of a seven days week will produce a multiple of '7').
Continuing counting this way, in 7 years from Feb.14,2024, i.e. Feb.14, 1031, it would be Tuesday, again
(seven fractional parts of a seven days week will produce a multiple of '7').
Counting this way, the day Fab.14,2032 would be Wednesday.
Now we should count leap years 2020, 2024, 2028. They give 3 days to add to Wednesday.
By adding these 3 days, we obtain Saturday.
So, the Valentine's day Feb.14,2032 should be Saturday. <<<---=== ANSWER
Solved. All 3 questions are answered.