Jerry plays tennis once every 6 days. Sam plays tennis every 10 days and Leo comes once every 12 days. Thus Monday all of them played. What day of the week will it be

Friday

Step-by-step explanation:

Given

Jerry = Every 6 days.

Sam = Every 10 days

Leo = Every 12 days.

Required.

If they meet on Monday, when next (day) will they meet

First, we need to get the multiple of 6, 10 and 12.

6 = > 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72 ...

10 = > 10, 20, 30, 40, 50, 60, 70, 80 ...

12=> 12, 24, 36, 48, 6o, 72, 84, 96 ...

The common factor between the multiples of 6, 10 and 12 is 60.

This represents the LCM.

It implies that they'll meet on the 60th day after their last meeting on Monday.

To get the day, follow the steps below.

Since there are 7 days a week

So, there are 60/7 weeks in 60 days

60/7 = 8 weeks 4 days

Recall that the last day they met was a Monday.

Hence, there next meeting will be 4 days after Monday.

4 days after Monday = Friday