Interesting Questions in World Mathematics

1. The will of the Arab mathematician Al-Khwarizmi when his wife was pregnant with their first child. "If my dear wife helps me give birth to a son, my son will inherit two-thirds of the inheritance and my wife will get one-third; if it is a girl, my wife will inherit two-thirds My daughter will get one third of the inheritance.”

Unfortunately, the mathematician died before the child was born. What happened after that bothered everyone even more. His wife helped him give birth to twins, a boy and a girl, and the problem lay in the content of his will.

How to follow the mathematician’s will and distribute the inheritance to his wife, son, and daughter? 2. How much water is in the bucket?

There was a master who hired workers and asked them the following assessment:

"Give you a bucket and fill it with half a bucket of water, neither more nor less. But Be careful, you can neither use a stick, a rope or anything else to measure."

The worker worked hard and finally completed the task. How did he do it? 3. When did the snail climb up the well?

A snail accidentally fell into a dry well. It lay down at the bottom of the well and cried. A lai toad crawled over and said angrily to the snail: "Stop crying, little brother! It's useless to cry. The wall of this well is too high. If you fall here, you will have to live here. I'm already here It's been many years here, and I haven't seen the sun for a long time, let alone want to eat swan meat." The snail looked at the old and ugly toad and thought to himself: "The world outside the well is so beautiful, I will never be like it! Living like that at the bottom of a dark and cold well!" The snail said to the toad: "Uncle Legg, I must climb up!" "How deep is this well? Hahaha... What a joke? ! This well is 10 meters deep. How can you climb up at such a young age and with such a heavy shell on your back? "I'm not afraid of hardship and fatigue. I can always climb out the next day!" , the snail was full of food and drank enough water, and then began to climb up the well wall. It kept climbing, and finally climbed 5 meters in the evening. The snail was very happy and thought: "At this speed, I will be able to climb up tomorrow evening." Thinking about it, it fell asleep unknowingly. In the morning, the snail was awakened by a snoring sound. At first glance, it turned out that the leprous uncle was still sleeping. It was startled: "Why am I so close to the bottom of the well?" It turned out that the snail slid down 4 meters from the well wall after falling asleep. The snail sighed, gritted his teeth and began to climb up again. In the evening, it climbed another 5 meters, but at night the snail slid down another 4 meters. Climbing and crawling, the snail finally climbed onto the well platform. Children, can you guess how many days it takes a snail to climb up the well platform?