Answer:
In year 2039 both the events will happen again.
Step-by-step explanation:
We are given the following in the question:
Family reunion:
Every 7 year
Update the family tree:
Every 6 years
1997 was the year when they had a family reunion as well as they updated their family tree.
We have to find the year in which both the events will occur together.
We find the lowest common multiple of 7 and 6.
Thus, after 42 years both the event will happen again.
Year:
Thus, in year 2039 both the events will happen again.