Mayan Calendar math problem - give it a shot
The Maya, a people living on and around the Yucatan Peninsula, had two calendars running simultaneously. Centuries ago, their civil calendar had 365 days, while their divine calendar had only 260 days. While the Maya celebrated their birthdays on the same day of each year according to the civil calendar, they considered themselves lucky if they could celebrate their birthdays on certain days in the divine calendar.
1. Mekel was born on civil date 26, which happened to be divine date 91. What was the divine date of his 10th birthday?
2. Show that Mekel one day celebrated his birthday on a divine New Year’s day, and give his age in civil years.
3. Lotaxh was born the day after Mekel. Determine whether Lotaxh ever celebrated her birthday on a divine New Year’s day.
4. Occasionally, a divine year passed during which Mekel’s birthday did not occur. Mekel and Lotaxh were married on her 20th birthday. Before their marriage, what age(s), in civil years, had Mekel been when an entire divine year elapsed without his birthday being celebrated?