Calculating the Day of Birth for A Using B’s Birth Date
To calculate the day of the week A was born on, we can use the information that B was born on Friday, August 17, 1983. By applying the rules of date difference and considering leap years, we can determine the day of the week for A's birth date, March 27, 1986.
Determining the Number of Days Between Two Dates
Step 1: Calculate the number of full years between 1983 and 1986
From 1983 to 1984: 365 days (non-leap year) From 1984 to 1985: 365 days (non-leap year) From 1985 to 1986: 365 days (non-leap year)Total days from 1983 to 1986 (excluding the given dates): 3 * 365 1095 days
Calculating the Total Number of Days from 17th August 1986 to 27th March 1986
Step 2: Adding the days from August to March of the same year
From 17th August 1986 to 31st August 1986: 14 days (from 17th to 31st) September 1986: 30 days October 1986: 31 days November 1986: 30 days December 1986: 31 days January 1987: 31 days (partially counted, only from 17th to 27th) From 17th January 1987 to 27th March 1986: 27 days (partial month)Total days in the above months: 14 30 31 30 31 31 27 184 days
Adding the Days Together
Step 3: Adding the total number of days calculated
Total days from 17th August 1983 to 17th August 1986: 1095 days (as calculated in step 1) Total days from 17th August 1986 to 27th March 1986: 184 days (as calculated in step 2) Days from 17th August 1986 to 27th August 1986: 10 days (partial month)Total days from 17th August 1983 to 27th March 1986: 1095 184 10 1289 days
Calculating the Day of the Week
Step 4: Determine the day using the total number of days and modulo 7
Since there are 7 days in a week, we use modulo 7 to find the remainder:
1289 mod 7 3 days
Given that B was born on a Friday, we add 3 days to Friday: Friday 3 days Monday
Therefore, A was born on a Monday, March 27, 1986
Conclusion
By using the given birth date of B and applying the rules of date calculations, we were able to determine the day of the week A was born on. This method can be applied to other date calculations for various purposes such as planning and scheduling.