French History Problem
In the French History, two great victories both happened at April 22. Both victories happened between 1700 and 1900. Find the years of their victories, considering the following conditions:
a.) Both victories were 4382 days apart.
b.) The sum of the digits of the year of their 1st victory is 23.
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1 solution
4382 days / 365 days = 12 years (with 2 leap years)
*Note that 1800 is not a leap year.
The possible years for the 1st victory which will sum up to 23 are 1796 and 1868
The 2nd victory would then be 1808 and 1880.
1796-1808 (2 leap years, excluding 1800). 1868-1880 (3 leap years)
Therefore, the 2 victories happened at 1796 and 1808.