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29 August, 21:55

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.

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

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  1. 30 August, 01:04
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    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.
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