Otaku Engineer in Great Tang Dynasty

Chapter 998 Old Demon Han is awesome!

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"Oh? Xiao Langjun is indeed from Yanhuang Academy, but he came up with the answer so quickly, please tell me!"

Lin Wenyuan's eyes lit up, and the smile on his face became more enthusiastic.

Tie Dan smiled confidently and replied: "I calculated an answer, it is twenty-three, I don't know if it's right or not?"

Lin Hao saw that Tie Dan was about the same age as him, but such a complex math problem could be solved so quickly without using pen and paper. He couldn't help but patted the table and said excitedly:

"Damn it! Cow! Han Li! Answered it so quickly! As expected of the legendary Han old demon! His strength is so dangling, and his brain is so bright!"

(In "The Legend of Mortal Cultivation of Immortals", because Han Li is ruthless towards the enemy, very vengeful, and has many ghosts, he is a complete master who refuses to suffer losses, so everyone unanimously calls him Han Laomo)

Tie Dan's face was indifferent, but Lin Wenyuan's face darkened, and he reprimanded: "Sit down!"

"Uh... yes, Dad!"

Lin Hao quickly put away the squeamishness and excitement on his face, and sat down honestly.

Mother Lin glanced at her son with a smile on her face. She secretly thought to herself that there is a drama here. Maybe her son will be able to pick up his interest in learning because of the iron egg!

Seeing that his wicked son was honest, Lin Wenyuan then looked at Tie Dan and said with admiration, "Exactly! The old man planned to order someone to help Xiaolang-jun prepare paper and pen for calculation, but Xiaolang-jun could just rely on mental arithmetic. The result can be obtained! Xiaolangjun is a great talent!"

Tie Dan smiled and said, "Master Lin, let's ask the next question!"

Lin Wenyuan glanced at Tie Dan with admiration, then continued: "Okay! Xiao Lang, please listen to the second question, Han Xin ordered the number of soldiers in a team of three, the remaining two in a group of three, three in a group of five, and seven in a group. There are four people in one group. Q: How many soldiers are there at least in this team?"

This is a famous ancient math problem, borrowed from Han Xin's allusions to soldiers, but I don't know how many people have been stumped through the ages.

After Tie Dan recited the question twice in his heart, his face became solemn.

The problem is to find a positive number that divides the remainder by 3, 2, 5, 3, and 7, and the remainder is 4, and it is hoped that the number obtained is as small as possible.

On the contrary, there is a relatively stupid method, that is, experiment and analysis, by continuously substituting data, and adding conditions step by step to deduce the answer.

For example, let's start with the condition that we divide the remainder by 3. The number satisfying 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, you can try to substitute n with 1, 2, 3, ... respectively. When n=2, 3n+2=8, and 8 divided by 5 has a remainder of 3. It can be seen that the number 8 satisfies both the conditions of dividing the remainder by 3 and the remainder by dividing 5 by 3.

The last condition is to divide the remainder by 7. 8 does not satisfy this condition. We want to get a number based on 8, so that it satisfies all three conditions at the same time.

And so on, you will always get the right answer in the end!

But the disadvantage of this method is also obvious, that is, it is extremely time-consuming.

"Come on, help Han Xiaolang-jun prepare the pen, ink, paper and inkstone!"

Lin Wenyuan saw Tie Dan frowning, so he ordered the servants to get a pen and paper.

Iron Dan said at this moment: "No need, Master Lin, I have come up with the correct answer!"

Lin Wenyuan couldn't sit still anymore, he stood up and exclaimed, "What? You already have the answer?"

Tie Dan stood with his hands behind his back. He had practiced Tai Chi for a few months. He was tall and straight, and his temperament was outstanding. There was a world of difference from the hairy boy who used to only play in the mud with his peers! At this moment, he is like a peerless master who is in the battle formation, with his clothes fluttering and detached from the world.

"Not bad! According to my calculations, there are at least fifty-three soldiers in this team, Mr. Lin, I wonder if I can answer correctly?"

Amid all expectations, Tie Dan slowly gave the answer.

Lin Wenyuan's breathing was a little short, and he couldn't believe it: "How is it possible? How could you figure out the answer in such a short period of time? Xiao Langjun, tell me the truth, have you solved this problem in private before?"

Tie Dan shook his head and said, "No!"

"How is this possible?! Can you tell me your problem-solving ideas, Mr. Lang?"

For Lin Wenyuan's request, Tie Dan did not refuse, he organized the language and said, "The boy thought of a simple solution, I don't know if it's right or not!

First, 3x5x7=105;

70 is a multiple of 5 and 7, and dividing by 3 leaves 1;

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 dividing 7 by 7 leaves a remainder of 1;

Thus, 70x2 is a multiple of 5 and 7, and dividing by 3 leaves 2;

21x3 is a multiple of 3 and 7, and the remainder is 3 when divided by 5;

15x4 is a multiple of 3 and 5, the remainder is 4 when divided by 7;

So 70x2+21x3+15x4=263=2x105+53;

Thus, 53 is divided by 3 and the remainder is 2, 53 is divided by 5 and the remainder is 3, and 53 is divided by 7 and the remainder is 4, so there are at least 53 soldiers in this team! "

"Come on, rely on! Old Demon Han is awesome!"

Although Tie Dan did not explain 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 about it, and he was really handsome!

This time, Lin Wenyuan did not scold his son again, because his mood was not very calm at this time.

go.

"Clap clap~!"

Unable to help, Lin Wenyuan applauded. He inherited his father's business since he was a child. He has been engaged in business since childhood. He is most sensitive to numbers and the like. He understood it completely, but that didn't stop him applauding Tie Dan's new way to solve the problem.

Black cat and white cat, whoever catches a mouse is a good cat! Facts have proved that the iron egg method is faster and more accurate in solving problems! that's enough!

"Brother Han is very talented, I admire it! There were many people who came to be selected before, and they all fell into this second question. I didn't expect that when Brother Han arrived, it took less than half an hour to solve this problem in a new way. Since ancient times, heroes have been young, and this old man is an eye-opener today!

There is no need to ask this third question, Brother Han, you have passed the test! I don't know if you would like to be my son's Mr. Xixi. I am willing to pay 20 yuan a month. You don't need to come every day. Just follow the academic calendar of Yanhuang Academy, and you can come every time you have time!

And to tell the truth, my son, Lin Hao, plans to take the Yanhuang Academy's admissions exam next year. As we all know, Yanhuang Academy focuses on mathematics. If my son can be admitted to the Yanhuang Academy under the guidance of Brother Han, the old man is willing to take out 200 yuan at a time. As a thank you! I don't know if Brother Han is willing? "

Unconsciously, Lin Wenyuan treated Tie Dan with a lot of respect, only to see him bow his hands to Tie Dan with a sincere expression.

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