Lizeth noticed that her grandparents’ birth dates have
an unusual property. Her grandmother was born 5-
31-36, and her grandfather was born 9-25-34.
Furthermore, her great-grandfather 7-17-14. How
many birth dates in a century have this property, in
which the sum of the month and the day equal the
value of the last two digits of the birth year?
903
365
To find out how many birth dates in a century have this property, where the sum of the month and the day equals the value of the last two digits of the birth year, we can follow these steps:
1. Determine the range of the birth dates in a century. Since a century spans 100 years, the birth dates will range from January 1, 1900, to December 31, 1999.
2. Iterate through each date within this range and check if it has the desired property.
3. For every date, extract the month, day, and last two digits of the year.
4. Calculate the sum of the month and the day.
5. Compare this sum with the last two digits of the year. If they are equal, count this date as having the desired property.
6. Finally, return the total count of birth dates that have the property.
Implementing this algorithm in code, it would look something like this:
```python
def count_dates_with_property():
count = 0
for year in range(1900, 2000):
for month in range(1, 13):
for day in range(1, 32):
year_digits = year % 100
if month + day == year_digits:
count += 1
return count
dates_with_property = count_dates_with_property()
print("Number of birth dates with the desired property in a century:", dates_with_property)
```
By running this code, you will get the answer to the question, which is the number of birth dates in a century that have the specified property.