With the sound of a gong, the third game of the competition finally began, and a doctor of arithmetic handed over the test questions to Qin Xin and stepped back. The update is the fastest and most stable

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"There is a pasture, the grass grows at the same speed, the shepherd boy shepherds, each sheep eats the same grass every day, if 17 sheep can eat this pasture in 30 days, if 19 sheep only need 24 days to eat this pasture, there are a number of sheep, 4 are sold after 6 days of grazing, and the rest will be eaten in 2 days, ask how many sheep are eaten?"

Qin Xin looked at the question on the white paper in his hand, frowned slightly, and then got up and read it out loud.

With a bang, the scene immediately became a commotion, not only the inmates, but also the doctors and teaching assistants and other teachers were also there to discuss, thinking that this test question was too tricky.

The reason why it is said is that because the grass grows every day, the total amount of pasture in the pasture is constantly changing, which undoubtedly greatly increases the difficulty of solving the problem.

The two doctors of arithmetic sat there expressionlessly, this question was the most difficult question made by the two, it was originally used for the finale, but because the arithmetic superintendent had lost two games in a row, this third game was to be saved no matter what, so this question was moved to the third game, hoping to win back a city.

I have to say that even for the inmates of arithmetic, this kind of problem with uncertainties is very difficult to solve, because the Ming Dynasty does not have a systematic problem-solving system at all, and can only rely on the knowledge mastered by those inmates for logical reasoning, and the difficulties in this can be imagined.

"It looks like they're going to get it." Shen Yong felt that this question was quite interesting and very difficult, so he said to Li Yuntian with a smile.

"I've lost two games in a row, and this game will definitely give the other party a dismount." Li Yuntian smiled and nodded, but he didn't think so, as long as the Guozi face supervisor can play normally, then it shouldn't be difficult to win this game, otherwise the lesson he and Yang Yungui gave them before was in vain.

Under the gaze of everyone with great interest, the Guozi-faced prisoner and the sturdy prisoner both fell into deep thought with solemn expressions, each looking for a way to solve the problem before they could start to calculate.

Because this question is too profound, the supervisors and teachers of the disciplines of Guozixue, Taixue, and Simenguan on the scene are all confused, and they don't know how to solve the problem at all, so they can only wait for the two to solve the answer.

After a while, the eyes of the prisoner with a national character face suddenly lit up, and he picked up the pen and wrote and drew on the white paper in front of him, while the sturdy prisoner was still frowning and thinking there.

Li Yuntian smiled slightly when he saw this, he knew that the overall situation had been decided, and the Guozi Face Supervisor had found a way to solve the problem.

The inmates couldn't help but look at each other, no one thought that the inmates with the national character face would perform the calculation so quickly, and they, like the strong inmates, had not yet figured out the clue of this problem.

Seeing this situation, the people at the scene were in a commotion again, pointing to the Guozi-faced prisoner and discussing there, judging from the link in front of him alone, the Guozi-faced prisoner had undoubtedly suppressed the strong prisoner.

The strong prisoner glanced at the Guozi-faced prisoner on the side in surprise, obviously not expecting that the Guozi-faced prisoner had already started to solve the problem, and he seemed a little overwhelmed for a while.

The two doctors of arithmetic frowned even more, the expression of the national character face supervisor was really beyond the expectations of the two, not to mention the national character face supervisor of this question, that is, the doctor of Nanjing Guozi supervisor came, and it took a lot of effort to find the solution to the problem!

Like the second game, Qin Xin couldn't sit still again, as the secretary of the Beijing Guozijian, he naturally knew the profundity of this question, and when he saw the Guozi face supervisor, he couldn't help but get up and walked over, and stood behind the Guozi face supervisor with a surprised expression.

Not only did he use the numbers of the big food, but he also wrote some strange characters on the blank paper, and he couldn't understand the meaning of them at all.

"Master Siye, the students have solved it, there are a total of 40 sheep!" Just when Qin Xin was at a loss there, the Guozi-faced prisoner put down the wolf pen in his hand, got up and bowed to him, and said loudly.

As soon as these words came out, there was an uproar in the Huiwen Hall, and the time spent by the Guozi face supervisor to solve the problem was less than that of the fat prisoner in the second game, and the problem in the third game was obviously several times more difficult than the second game.

The faces of the two doctors of arithmetic turned pale in an instant, and they looked at the Guozi-faced prisoner in disbelief, with a look of disbelief.

"This ...... So fast! Qin Xin was slightly stunned, then came back to his senses and asked with a surprised expression, "Do you need to review it again?" ”

"Master Siye, the student has already been reviewed." The Guozi-faced supervisor shook his head, and then bowed his hand to the two doctors of arithmetic, "Two adults, I don't know what the answer to this question is?" ”

Hearing this, everyone at the scene looked at the two doctors of arithmetic, and they all wanted to know if the answer of the Guozi face supervisor was correct.

"Lord Siye, the number of sheep is indeed 40!" In front of everyone's eyes, the previous doctor of arithmetic who gave the title to Qin Xin gave his hand to Qin Xin bitterly, and then glanced at the prisoner with a national character face, and said quite unwillingly, "My lord, although the results have come out, but the lower officials want to know how to calculate it, and I hope that the adults will complete it." ”

At this moment, the doctor of arithmetic still had the last trace of luck in his heart, doubting that the answer of the Guozi-faced prisoner was guessed, otherwise how could he have come to the result so quickly, which was completely beyond his imagination.

After his words fell, the noise in the Huiwen Hall gradually became louder, and people speculated about how the Guozi Face Supervisor came up with the answer.

"Can you tell us a little bit about the process of solving the problem, so that everyone can understand the mystery of this?" Qin Xin saw that the situation at the scene was getting more and more chaotic, so he pressed down his hand, and after everyone quieted down, he quietly asked the Guozi Face Supervisor, in fact, he also wanted to know how the Guozi Face Supervisor solved this question.

"Students obey!"

Hearing this, the Guozi-faced supervisor arched his hand at Qin Xin, sorted out his thoughts a little, and then said to the two doctors of arithmetic in an orderly manner, "The student adopts the quantitative method to solve the problem, because the question does not specify the amount of grass on the grassland, so the student sets it as an unknown number, which is represented by Xiyi character a, and the grass that grows on the grassland every day is represented by Xiyi character b." ”

"Quantification? Xiyi script? The two doctors of arithmetic couldn't help but glance at each other, their eyes were full of stunned looks, and it was the first time they had heard two terms.

"Since the amount of grass grown in the pasture is equal to the amount of grass eaten by the sheep, the student can get two equations from the premise of the 17 sheep and 19 sheep, both of which contain the amount of pasture a on the pasture and the amount of grass b that grows per day."

The Guozi-faced supervisor then picked up the blank paper on the table and showed a system of binary equations listed on it to the two doctors of arithmetic, "Through these two equations, students can solve that the number of pastures a is 240, and the number of pastures b growing every day is 9. ”

Hearing this, the faces of the two doctors of arithmetic couldn't help but change greatly, when they designed this question, they first determined the original number of 240 grasses and the number of 9 grasses growing every day, and then according to these two conditions.

The two never thought that the Guozi Face Prison Student would be able to solve these two conditions in an instant, and it was completely correct, which was simply incredible.

"After obtaining these two values, the next step of the student's calculation is much easier, let the unknown number of sheep be Xiyi character c, and then list an equation according to the conditions given, the left side of the equation is the amount of grass grown in the pasture, and the right side of the equation is the amount of grass that the sheep eat."

The Guozi-faced supervisor pointed to one of the unary equations he had listed, and looked at the two doctors of arithmetic with a smile, "In this way, the student solved the unknown number c, which is 40." ”

The two doctors of arithmetic looked at the system of binary equations and the unary equation on the white paper in amazement, the two of them are masters of arithmetic in the Ming Dynasty, and they are naturally proficient in the concept of equations in the "Nine Chapters of Arithmetic".

In the past, the description of "equations" in arithmetic books was too abstract, without a specific system to support, and completely relied on people's logical reasoning ability to calculate, unlike what the national character face supervisor said now, and it was supported by a perfect system.

Although the two of them still don't know exactly what the equation in the mouth of the Guozi-faced supervisor is, they are already keenly aware that this will be a major breakthrough in the history of arithmetic.

The people at the scene were all at a loss after listening to the answer of the Guozi face supervisor, although they felt that the Guozi face supervisor was quite reasonable, but they didn't know how it was calculated.

"Lord Siye, the lower officials are convinced, this set of problem solving methods is really amazing!" After a while, the doctor of arithmetic who had given Qin Xin the test questions arched his hand at Qin Xin and said solemnly.

"Can you tell me, how do you find this solution?" Another doctor of arithmetic couldn't hold back the excitement in his heart, and asked the Guozi-faced supervisor with an excited face.

"My lord, the student learned this solution from the Ming Xin monk." Hearing this, the Guozi-faced supervisor arched his hand at the doctor of arithmetic and said in a deep voice.

"Mingxin Jushi?" The two doctors of arithmetic couldn't help but glance at each other in surprise, and the two of them also read "Mingxin Bao", and naturally knew that the person who pressed the formation of "Mingxin Bao" was Mingxin Jushi, a talented and mysterious person with many strange theories.

There are two things that are most impressive about the Ming Xin Jushi, one is the poem that was regarded as the absolute "smoke lock pond willow" by the scholars when the Ming Xin Bao was founded, and the other is that the falling speed of the heavy objects in the south tower of the city is real, which can be said to have caused a sensation in the entire capital.

The two never expected that Ming Xinju also had such profound attainments in arithmetic, which made the two of them admire them so much.

Hearing the words "Ming Xin Jushi", the prisoners in the Huiwen Hall were in a commotion again, buzzing there to discuss the matter.

There are many inmates in the Simen Pavilion who know that Chen Qing and others went to the Mingxin Pavilion to be taught, so they have proved that what the inmates of the national character face said is true.

Just imagine, the students taught by the Ming Xin monks in their leisure time easily defeated the supervisors of arithmetic, and made the two doctors of arithmetic convinced, so isn't his own strength unfathomable?

"I don't know if I can recommend it on my behalf, this official wants to see Ming Xinjushi." The doctor of arithmetic who asked quickly came back to his senses, looked at the prisoner with a national character face, and asked in a deep voice.

"This ......" The Guozi-faced supervisor looked a little embarrassed, and said after a deep sigh, "Mingxin Jushi has always lived in a simple place, and the student does his best, so it is unknown whether he is willing to meet the adult." ”

When the doctor of arithmetic heard this, his face suddenly showed a look of disappointment, as a master of arithmetic, he really hoped to communicate with Mingxin Jushi and discuss the mysteries of the field of arithmetic.

Li Yuntian saw this scene in his eyes, and nodded thoughtfully, it seems that it is necessary for him to meet these two doctors of arithmetic, no matter how the two of them are also masters of Guozi supervision, today's incident can be said to have made the two of them lose face. One