Jerry plays tennis once every 6 days. Sam plays tennis every 10 days and Leo comes once every 12 days. This Monday all of them played.

a

How many days after this Monday will all of them meet at the tennis court again?

They will all meet at the tennis court again in 60 days after this Monday.

Step-by-step explanation:

When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm (x, y) days. lcm (x, y) is the lesser common multiple of x and y which is not 0.

In this question:

Jerry each 6 days.

Sam each 10 days.

Leo each 12 days.

Multiples of 6: {0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... }

Multiples of 10: {0, 10, 20, 30, 40, 50, 60, ... }

Multiples of 12: {0, 12, 24, 36, 48, 60, ... }

The lesser common multiple is 60.

So

They will all meet at the tennis court again in 60 days after this Monday.