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Pleasant Goat and Boiling Goat gave Lao Yang their exercise books.
You can count it this way.

Take Pleasant Goat as the research object first, and you can easily find it.

Pleasant goat's rest day is a multiple of 5, namely 5, 10, 15, 1000.

Then the boiling sheep only needs a multiple of 5 days' rest.

Taking boiling sheep as the research object, his rest days are: 8, 9, 10, 18, 19, 20. ...

In this way, you can easily find that all three numbers are not multiples of 5, which means that boiling sheep will have a coincidence of 1 day (that is, the tenth day) every 10 day.

Then with 10 as the period, * * has1000/10 =100 cycles.

If one day of each cycle coincides, then 100 cycles * * * have 100 days.

Ps+ tucao: the current math problem is too. Better change your name. Insulting the IQ of the flowers of the motherland.