Ramu Visits Delhi on every 15 days and Samu goes to Delhi every 20 days. They met at Delhi 5 days back. After how many days, from today they will meet in Delhi next time
Step-by-step Solution:
1. Find the Meeting Interval (LCM) - To find out how often Ramu and Samu meet, we need to calculate the Least Common Multiple (LCM) of their individual visit cycles (15 days and 20 days).
- The LCM of 15 and 20 is 60.
- This means they meet in Delhi exactly every 60 days.
2. Determine When the Next Meeting Occurs - We know their last meeting was 5 days ago.
- Since their meetings happen every 60 days, their next meeting is scheduled 60 days after the last one.
- The number of days from today until that next meeting is the full cycle (60 days) minus the time that has already passed (5 days).
- Days from today = 60 - 5 = 55 days.
Final Answer: They will meet again in Delhi after 55 days from today.