A rich man divided his inheritance into five cows. He said he would give 65,438+0 to the eldest son and 65,438+0 to the younger son, but he was not allowed to kill cattle. How to divide it?

There are at least two ways to solve this problem:

First: the popular folk solution is to borrow one head, give three heads and two heads to two sons, and return the remaining one to others!

Second: mathematical method, starting with five cows, first divide the eldest son into 5/2 cows, the younger son into 5/3 cows, and the rest.

5-5/2-5/3=5/6 heads. In the same way, 5/6 heads continue to divide. In fact, it is inseparable, so it will be infinitely divided. But from a mathematical point of view, the cows divided by the eldest son and the younger son constitute an infinite recursive geometric series mathematical model. Using the knowledge of infinite recursive geometric series sum, the eldest son can be divided into three heads and the younger son into two heads!