Every 7 years the Lancaster family has a family reunion. Every 6 years they update their family tree. If they both had a photo taken and updated their family tree in 1997, in what year will both events occur again?

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.

53 degrees 27' 5".

Step-by-step explanation:

Adding the seconds we get 65" = 1' 5" ( 5" carry 1')

Adding the minutes gives 1' + 86' = 1 degree 27' (27' carry 1 degree)

Adding the degrees we get 1 + 52 = 53 degrees.