"Oh? Xiao Langjun is worthy of being from Yanhuang Academy. He actually came up with the answer so quickly. Please tell me!"
Lin Wenyuan's eyes lit up, and the smile on his face became even more enthusiastic.
Tiedan smiled confidently and replied: "I calculated the answer, it is twenty-three, I don't know if it is correct or not?"
Lin Hao saw that Tiedan was about the same age as him, yet he could solve such complex math problems so quickly without pen and paper. He couldn't help but pat the table and said excitedly:
"Holy crap! Han Li! He answered it so quickly! He is indeed the legendary Demon Han! He is so powerful and his brain is so bright!"
(In "The Legend of Mortal Cultivation of Immortality", because Han Li is cruel to his enemies, very vindictive, and full of scheming, he is a complete master who does not want to suffer losses, so everyone unanimously calls him Old Demon Han)
Tiedan's face was indifferent, but Lin Wenyuan's face darkened and he scolded: "Sit down!"
"Uh...yes, dad!"
Lin Hao quickly put away the irritation and excitement on his face and sat down honestly.
Mother Lin glanced at her son with a smile on her face, and secretly thought that something was going to happen now. Maybe her son would be able to pick up the interest in learning because of Tiedan!
Seeing that his villain was being honest, Lin Wenyuan looked at Tiedan and exclaimed: "That's absolutely correct! I originally planned to order someone to prepare pen and paper for you to use for calculations, but I didn't expect that Xiao Langjun could just do the calculations by heart. You can get results! Xiaolangjun is a great talent!"
Tiedan smiled and said, "Master Lin, let's ask the next question!"
Lin Wenyuan glanced at Tiedan with admiration, and then continued: "Okay! Mr. Xiaolang, please listen to the second question. Han Xin pointed out the number of soldiers in a group. A group of three left two people, a group of five left three, and seven There are four people left in each group. Ask: How many soldiers are there in this group?"
This is a famous ancient mathematics problem, borrowed from Han Xin's allusion to the soldiers, but it has puzzled many people throughout the ages.
After Tiedan recited the question silently in his mind twice, his expression became serious.
This question is to find a positive number, so that when divided by 3, the remainder is 2, when divided by 5, the remainder is 3, and when divided by 7, the remainder is 4, and the number is as small as possible.
There is a relatively stupid method, which is to experiment and analyze. By continuously substituting data, adding conditions step by step to derive the answer.
For example, we start with the condition of dividing 3 by 2. The number that satisfies this condition is 3n+2, where n is a non-negative integer.
To make 3n+2 still satisfy the condition of dividing the remainder by 5 by 3, you can try substituting n with 1, 2, 3,... respectively. When n=2, 3n+2=8, and 8 divided by 5 has exactly the remainder 3. It can be seen that the number 8 satisfies the two conditions of dividing the remainder by 3 and the remainder 3 by dividing 5.
The last condition is dividing 7 with a remainder of 4. 8 does not satisfy this condition. We need to get a number based on 8 so that it meets three conditions at the same time.
By analogy, you can always get the correct answer in the end!
But the disadvantage of this method is also obvious, that is, it is extremely time-consuming.
"Come here, help Mr. Han Xiaolang prepare pens, ink, paper and inkstones!"
Lin Wenyuan saw Tiedan frowning and saying nothing, so he ordered his servants to get paper and pen.
At this moment, Tiedan said: "No need, Mr. Lin, I have come up with the correct answer!"
Lin Wenyuan finally couldn't sit still anymore. He stood up and exclaimed: "What? Do you already have the answer?"
Tiedan stands with his hands behind his back. After practicing Tai Chi for several months, he has a tall and straight figure and a distinguished temperament. He is completely different from the old boy who only played in the mud with his peers! At this moment, he was like a peerless master who had personally participated in the battle, with fluttering clothes and aloofness from the world.
"That's right! According to my calculation, there are at least fifty-three soldiers in this team. Mr. Lin, I wonder if I am right?"
In response to everyone's expectations, Tiedan slowly gave the answer.
Lin Wenyuan's breathing was a little rapid, and he said in disbelief: "How is it possible? How could you calculate the answer in such a short period of time? Xiao Langjun, tell me truthfully, have you solved this problem in private before?"
Tiedan shook his head and said: "It never happened!"
"How is this possible?! Then, young man, can you tell me your ideas for solving the problem?"
Tiedan did not refuse Lin Wenyuan's request. He organized his words and said, "I thought of a simple solution, I don't know if it's right or not!
First, 3×5×7=105;
70 is a multiple of 5 and 7, and the remainder is 1 when divided by 3;
21 is a multiple of 3 and 7, and the remainder is 1 when divided by 5;
15 is a multiple of 3 and 5, and the remainder is 1 when divided by 7;
Therefore, 70×2 is a multiple of 5 and 7, and the remainder is 2 when divided by 3;
21×3 is a multiple of 3 and 7, and the remainder is 3 when divided by 5;
15×4 is a multiple of 3 and 5. Divide 7 and the remainder is 4;
So 70×2+21×3+15×4=263=2×105+53;
From this, we can get that 53 divided by 3 leaves a remainder of 2, 53 divided by 5 leaves a remainder of 3, and 53 divided by 7 leaves a remainder of 4, so there are at least 53 soldiers in this team! "
"Fuck, damn! Old Demon Han is so awesome!"
Although Tie Dan did not speak in detail, and although Lin Hao knew nothing about arithmetic, this did not prevent him from cheering for Tie Dan, because Tie Dan had just talked so confidently that he was so handsome!
Lin Wenyuan did not rebuke his son this time, because his mood was not very calm at this time.
"Pah pah pah~!"
Lin Wenyuan couldn't help but clapped his hands. He had inherited his father's business since he was a child and had been doing business since he was a child. He was most sensitive to numbers and the like. He could not be said to be proficient in arithmetic, but he still knew a thing or two. Although he didn't understand Tiedan's explanation just now, He understood it completely, but that didn't stop him from applauding Tiedan for his new way of solving the problem.
Black cat or white cat, the one that catches mice is a good cat! Facts have proven that Tie Dan’s method is faster and more accurate in solving problems! that's enough!
"Brother Han is so talented, I admire him! Many people who came to apply for the election failed at this second question. Unexpectedly, as soon as Brother Han came, he found a new way to solve this question in less than half a quarter of an hour. .Since ancient times, heroes have emerged from youth, I have opened my eyes today!
There is no need to ask this third question. Brother Han, you have passed it! I wonder if you are willing to be my son’s teacher. I am willing to provide you with a monthly salary of 20 yuan. I don’t need you to come every day. According to the academic calendar of Yanhuang Academy, you can just take the time to come every holiday!
And to be honest, my son Lin Hao plans to take part in the Yanhuang Academy’s admissions exam next year. As we all know, Yanhuang Academy focuses on arithmetic. If my son can be admitted to the Yanhuang Academy under the guidance of Brother Han, I am willing to spend two hundred dollars at a time. As a thank you! I wonder if Brother Han is willing? "
Unknowingly, Lin Wenyuan's attitude towards Tie Dan became much more respectful, and he said to Tie Dan with a sincere face.
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