"Oh? No wonder you're from Yanhuang College. You got the answer so quickly. Please tell me! "
Lin Wenyuan's eyes lit up, and the smile on his face became even more enthusiastic.
Iron Egg smiled confidently and replied, "I calculated the answer. It's 23. Is that correct?"
Lin Hao saw that Iron Egg, who was about the same age as him, could solve such a complicated math problem so quickly without using a pen and paper. He couldn't help but pat the table and say excitedly,
"Damn! Awesome! Han Li! You got the answer so quickly! No wonder you're the legendary Old Demon Han! You're so strong, and you're so smart! "
(In the 《Legends of a Mortal's Journey to Immortality》, Han Li was known as Old Devil Han because he was vicious and merciless towards his enemies, held grudges, and had many tricks up his sleeve. He was someone who refused to suffer losses.)
Iron Egg's face was calm, but Lin Wenyuan's face darkened. He reprimanded, "Sit down!"
"Uh … Yes, Dad!"
Lin Hao quickly put away the arrogance and excitement on his face and sat down obediently.
Mother Lin glanced at her son and smiled. She thought to herself that there was hope now. Her son might be able to pick up his interest in studying because of Tie Dan!
Seeing that his unfilial son was obedient, Lin Wenyuan looked at Iron Egg and praised, "You're absolutely correct! I was going to ask someone to prepare a pen and paper for you to calculate, but I didn't expect you to get the answer just by calculating in your head! You're a genius, Young Master! "
Iron Egg smiled and said, "Master Lin, please ask the next question!"
Lin Wenyuan looked at Iron Egg with appreciation and continued, "Good! Young Master, please listen to the second question. Han Xin points out the number of soldiers in a group. There are two soldiers in a group of three, three soldiers in a group of five, and four soldiers in a group of seven. Question: How many soldiers are there in this group? "
This was a famous ancient math problem, borrowed from the story of Han Xin's troops. Since ancient times, it had stumped countless people.
Iron Egg repeated the question twice in his mind, and his face turned solemn.
The problem was to find a positive number, so that 3 divided the remainder 2, 5 divided the remainder 3, and 7 divided the remainder 4. Moreover, it was hoped that the obtained number would be as small as possible.
However, there was a relatively stupid method, which was to experiment and analyze. By constantly inserting data and increasing conditions step by step, the answer could be deduced.
For example, let's start with the condition that the remainder is 2 by 3. The number that satisfies this condition is 3n + 2, where n is a non-negative integer.
In order to make 3n + 2 satisfy the condition of dividing by 5 and leaving 3, we can substitute n with 1, 2, 3, … respectively. When n = 2, 3n + 2 = 8, and 8 divided by 5 leaves 3. It can be seen that 8 satisfies the two conditions of dividing by 3 and dividing by 5.
The last condition was to divide 4 by 7. 8 does not meet this condition. We have to get a number based on 8 that satisfies all three conditions.
So on and so forth, we will eventually find the correct answer!
However, the disadvantage of this method was obvious, which was that it wasted a lot of time.
"Come, prepare the ink, paper, and inkstone for Young Master Han!"
Lin Wenyuan saw that Iron Egg was frowning and did not speak, so he ordered the servants to get the ink and paper.
Iron Egg said at this moment, "No need, Master Lin, I have already found the correct answer!"
Lin Wenyuan finally could not sit still. He stood up and exclaimed, "What? You already have the answer? "
Iron Egg stood with his hands behind his back. After practicing Tai Chi for a few months, he stood tall and straight, and his temperament was outstanding. He was completely different from the young boy who only knew how to play mud with his peers! At this moment, he was like a peerless master who had personally come to the battlefield. His clothes fluttered in the wind, and he was detached from the world.
"Yes! According to my calculations, there are at least 53 soldiers in this group. Master Lin, is my answer correct? "
Iron Egg slowly said the answer to everyone's expectations.
Lin Wenyuan's breath was a little short. He said in disbelief, "How is that possible? How can you calculate the answer in such a short time? Little Langjun, tell this old man the truth. Have you ever solved this problem in private before? "
Iron Egg shook his head and said, "No!"
"How is that possible? Young Master, can you tell me how you solved the problem? "
Iron Egg did not refuse Lin Wenyuan's request. He organized his words and said, "I have thought of a simple solution, but I don't know if it is correct or not!
First, 3 × 5 × 7 = 105;
70 is a multiple of 5 and 7, and dividing 3 by 1 is the remainder;
21 is a multiple of 3 and 7, and dividing 5 by 1 is the remainder;
15 is a multiple of 3 and 5, and dividing 7 by 1 is the remainder;
70 × 2 is a multiple of 5 and 7, and dividing 3 by 2 is the remainder;
21 × 3 is a multiple of 3 and 7, and dividing 5 by 3 is the remainder;
15 × 4 is a multiple of 3 and 5, and dividing 7 by 4 is the remainder;
70 × 2 + 21 × 3 + 15 × 4 = 263 = 2 × 105 + 53;
53 divided by 3 is the remainder; 53 divided by 5 is the remainder; 53 divided by 7 is the remainder; 53 divided by 7 is the remainder; therefore, there are at least 53 soldiers! "
"Damn, damn, damn! Old Demon Han is awesome! "
Although Iron Egg did not explain in detail, and although Lin Hao did not know anything about mathematics, it did not stop him from cheering for Iron Egg. Because Iron Egg was so cool when he spoke so confidently just now!
Lin Wenyuan did not reprimand his son this time, because he was not calm either.
Clap, clap, clap ~!
Lin Wenyuan could not help but applaud. He had inherited his father's business from a young age and was very sensitive to numbers. Although he was not proficient in mathematics, he knew a thing or two. Although he did not fully understand Iron Egg's explanation, it did not stop him from applauding Iron Egg's innovative way of solving the problem.
Black cat, white cat, a cat that catches mice is a good cat! Facts had proven that Iron Egg's method was faster and more accurate! That was enough!
"Brother Han, you are a genius. This old man admires you! Previously, there were many people who had come to participate in the selection who had failed at this second question. Who would have thought that little brother Han would come and find another way to solve this question in less than a quarter of an hour? Since ancient times, heroes have been born from the young. Today, this old man has broadened my horizons!
There is no need for the third question. Brother Han, you have passed! I wonder if you are willing to be my son's tutor? This old man is willing to pay you 20 strings of coins a month. You don't have to come every day. According to the school calendar of Yanhuang College, you just have to come every holiday!
To be honest, my son, Lin Hao, is planning to take part in the entrance exam of Yanhuang College next year. As everyone knows, Yanhuang College emphasizes mathematics. If my son can be admitted into Yanhuang College under Brother Han's guidance, this old man is willing to pay you 200 strings of coins in one go as thanks! I wonder if Brother Han is willing? "
Unknowingly, Lin Wenyuan's attitude towards Iron Egg had become much more respectful. He cupped his hands and said sincerely to Iron Egg.
…
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