Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

Question

Aicharya · Accepted Answer

They will all meet again after LCM(5, 24, 9) = 360 days. The day of the week after 360 days is found from the remainder of $360 \div 7 = 3$. So they will meet on Sunday + 3 days = Wednesday.

Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day…

Solution