Given the original X peaches, we add 4 peaches. Considering X 4, we can not throw them into the sea at this time.

But let each monkey get one more, that is, always get the rest 1/5, then X must make

(x 4) * (4/5) 5 is an integer,

In other words, the minimum value of (x 4) should be equal to 5 5 = 3125, min. x = 3 12 1。

The answer should be 3 12 1 peach.

First of all, 4 and 5 are prime numbers, so 4/5 of a number can be divisible by 5, which is equivalent to 1/5 of a number being divisible by 5. Secondly, throwing away 1 at first is the same as adding four (after adding four, one more person is responsible for dividing things, which is equivalent to throwing away);

The total number is (x 4) = 5 * 5 * 5 = 3125, so =3 12 1.

3 12 1 is the correct answer. Verification:

3 12 1

(3121-1) * 4/5 = 3120-624 = 2496 The first monkey takes 624.

(2496-1) * 4/5 = 2495-499 =1996 The second monkey took 499.

(1996-1) * 4/5 =1995-399 =1596 The third monkey takes 399.

(1596-1) * 4/5 =1595-3 19 =1276 The fourth monkey takes 319.

(1276-1) * 4/5 =1275-255 =1020 The fifth monkey takes 255 (note: I didn't write this question).