Answer:16 days
Step-by-step explanation:
Given
John schedule is 4 Workdays and 5 th day off i.e. John take holiday at the 5 th day
Ling Work for 7 day and then took off on 8 th and 9 th day
i.e. after every 8 th and 9 th day he take off
So to find out common day off we nee take LCM of
i)5 and 8
ii)5 and 9
LCM(5,8)=40 i.e. after every 40 th day they had same day off
and there are 8 such days in 365 days
LCM(5,9)=45 i.e. after every 45 day they had same day off
and there are total of 8 days in 365 days
therefore there are total of 16 days in total out of 365 days
