Chapter 336: It's Actually Right

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"Use the rope to measure the depth of the well, the rope is three folds, the outside of the well is four feet, the rope is four folds, the outside of the well is more than one foot, and the length of the rope is asked how long the well is deep?"

"Uh......"

Finally, Qin Yong could see clearly what the title was written on the paper. It's just that this look at it really makes him quite speechless, because this relatively simple question in the mouth of the Taoist teaching industry is really not simple at all.

Of course, it doesn't mean that Qin Yong can't do it, in fact, this problem is still not difficult at all for Qin Yong, and even if it is a student who has gone to junior high school in the future, it can be easily solved.

However, if it is placed in this era, it is not simple. At the very least, it will not be much easier than the "chickens and rabbits in the same cage" problem that Dao Jiaoye just talked about.

Because, this problem is the same as the "chickens and rabbits in the same cage" problem, if it is to be easily solved, it must use the idea of equations. For example, in the solution of later generations, the problem of "chickens and rabbits in the same cage" can actually be turned into a unary equation or a binary equation, and then, the problem in front of you can also be turned into a unary equation or a binary equation, so in terms of difficulty, there is not much difference between the two, the only difference is that the expressions of the two are a little different.

Of course, although this question is not simple, it is not as difficult as the "things do not know how much" problem. If there is really a problem of "not knowing the number of things", then Qin Yong will still have some headaches, the main reason is that such a problem of "not knowing the number of things", even in the society of later generations, there is no too flexible way to solve the problem.

It turns out that this problem of "things don't know the number" comes from an ancient arithmetic book "Sun Tzu's Sutra". The question is like, "I don't know how many things are, three are more than two, five are more than three, seven are two and more than two, and ask what is the total number of things?" As a result, this problem is also called the "I don't know how many things" problem.

This question can be regarded as a real problem, even in the society of later generations.

In "Sun Tzu's Calculations", although the solution idea of the problem is given, it is not an inductive summary of this type of problem, but only suitable for the topic itself.

Of course, in the society of later generations, the solution method of such a problem has been completely summarized, and it has also been stored as a theorem, and Qin Yong, as a graduate who has studied for four years, such a mathematical theorem, he naturally already knows, but he is not too skilled, so if the Taoist teaching is really such a problem, he really has a headache for a while, but fortunately, now, the Taoist teaching is not this problem.

"Qin Gongzi, please! The title is from the old decay, and the old decay will give you a quarter of an hour, what do you think? ”

After noticing that Qin Yong had been in a state of "stunned" after reading the question, he mistakenly thought that Qin Yong didn't know how to solve this question at all, so he said with a smug face.

Actually, he didn't want to ridicule Qin Yong so much, after all, Qin Yong was too far from his age, identity, and status, so no matter whether he won or lost, there was actually no reason to be proud.

However, after all, Qin Yong had just rejected his kindness just now, so he was naturally happy to see Qin Yong deflated at this time, because he thought that this would make Qin Yong realize his shortcomings, and even more so, let him know his way back, wouldn't that be good? However, he didn't expect that what Qin Yong was thinking about at the moment was completely different from what he was thinking, so he could see that Qin Yong shook his head and said, "Okay...... All right! That...... Thank you, Mr. Dao! ”

"Use the rope to measure the depth of the well, the rope is three folds, the outside of the well is four feet, the rope is four folds, the outside of the well is more than one foot, and the length of the rope is asked how long the well is deep?"

"Yes, yes, yes! This question is extremely difficult! Could it be that the 'Yongyue Prince' will be at a loss after reading the title, now, what is he probably the sky is thick, right? ”

"That's right! That's it! When the teacher gave us this question, only Her Royal Highness the Celestial Princess could answer it! Whereas...... Moreover, it took him three days, and at this moment he wanted to answer it in just a quarter of an hour, it was really wishful thinking! ”

"That's right, wishful thinking!"

It turns out that this question is somewhat similar to "chickens and rabbits in the same cage", when the Taoist teaching was in the front, it was once given to the sons and ladies of the "Yinshan Society", the purpose was to study their knowledge.

Because, this kind of similar problem, he has already explained in class, of course, at that time, it was about the problem of "chickens and rabbits in the same cage", but as long as it is slightly flexible, it can also solve the same problem.

However, what he didn't expect was that it was such a small change, and when he actually wrote it, most of the students in the "Yinshan Society" didn't have a clue at all.

And a small number of people, although they have some clues, but they can't be converted in the same way, so in the end, the person who can really solve this problem is only Wu Zixiang alone, so at that time, this topic caused a lot of discussion within the "Yinshan Society".

But I didn't expect that today, Dao Teaching would actually use it to test Qin Yong in the same way.

Therefore, many people present were waiting to see a good show, because what they thought was that since they couldn't solve it, Qin Yong naturally couldn't solve it, so even if they gave him more time, what was the use?

It's just that what they didn't expect was that during the time they were gloating, Qin Yong had already begun to unfold the equation, so they could see that he was writing these few words on the paper.

"Use a rope to measure the depth of the well, then set the depth of the well to x......"

"Then when the two measurements are taken, the total length of the rope is equal, so the equation 3*(x+4)=4*(x+1) can be obtained, that is, 3x+12=4x+4......"

"So, in the end, the depth of the well should be 8, and the rope length should be 36......"

……

"Well, Her Royal Highness the Celestial Princess, Mr. Dao, I have calculated it below!"

"Huh?"

Dao Zhuye had said that he would give Qin Yong a quarter of an hour, so when Qin Yong started to write, he didn't move, but instead stared at Qin Yong like his disciples, looking like he wanted to watch a good show. But he didn't expect that after just a blink of an eye had passed, Qin Yong directly said that he had already calculated it? So, the laughter that was originally full of laughter just came to an abrupt end.

"Count...... Figured it out? No...... Unlikely! ”

"I ...... I think so! This...... How much time has passed! Well, he must know that he will never be able to calculate it, so he is just making a fool of himself! ”

"Yes, yes, it must be so!"

……

The people of the "Yinshan Society" on the scene naturally wouldn't believe that Qin Yong had already calculated any answers in such a short period of time, so naturally there were all kinds of guesses. However, Qin Yong couldn't care about this, and under his motion, the two little girls, Qin'er and Qi'er, quickly handed over the answers he wrote to Dao Zhuye.

"What? Only so much something? ”

"Well, the well depth should be 8, and the rope length should be 36......"

"This ...... Is this true? ”

When Dao Zhuye first saw Qin Yong's piece of paper, he was really a little angry, because he only saw a few strange symbols written by Qin Yong. For example, he recognized the Arabic numerals such as "3", "12", "4", etc., because he had roughly known the meaning of these symbols the night before, but he couldn't see what these symbols such as "x", "+", "*" and so on were, so he thought that Qin Yong was just scribbling. But in the end, he saw that he had a conclusion, that is, "the depth of the well is 8, and the length of the rope is 36", so after hesitating for a while, he decided to treat it carefully.

"Old ...... Teacher, Qin Gongzi's answer, is it right? ”

Dao Zhuye looked at Qin Yong's answer on the paper and was still a little "stunned", but Wu Zixiang on the side couldn't wait, so he asked.

It's no wonder that she is in such a hurry, because she originally thought that Qin Yong's scientific knowledge of clear arithmetic should be very high, otherwise, she would not be able to figure out any new method of counting "Arabic numerals". However, she didn't expect it to be as high as this.

The reason is that she actually did this question not long ago, and it took three days to solve the whole question, but now, Qin Yong also claimed to have made an answer in less than half an hour, you say, how can she accept it? Could it be that a problem that took three days to do was now able to be done by Qin Yong in half an hour? That's unlikely!

"Well, this, the old decay hasn't been counted yet, and I don't know what the answer is! Your Highness, please wait a moment......"

Hearing Wu Zixiang's inquiry, Dao Zhuye reacted, at this time, it was not when he was surprised and shocked, but it should be a good confirmation of whether Qin Yong's answer was correct.

However, before he started the calculation, there was no way to know the answer, because although this question was written by him, the values in it were filled in by Wu Zixiang, so if you don't go through the real calculation, you don't know the result.

"Well...... The depth of the well is ...... For eight?! Rope...... The rope is long, too...... also thirty-six!! Oh my God, ...... That's right! ”

The calculation of Taoism is also a lot, no, just a quarter of an hour has passed, and he has already calculated the answer to this question. However, the moment the answer came out, his two eyes widened at the same time, and then he stared blankly at the white paper in front of him, with a shocked expression that was simply speechless.

Because, he suddenly appeared, and the answer he had worked so hard to calculate was exactly the same as the answer that Qin Yong had calculated before. Doesn't this mean that Qin Yong only took less than half an hour just now, and he was indeed already calculated by the question just now?

"That'...... How is that possible? ”

I can't believe my eyes, but I can't believe it, because now the facts are already in front of me.

Anyway, this question was also made by himself, and the value was also filled in by Wu Zixiang, so Qin Yong had no possibility of cheating or tricking at all. However, if there was no cheating or cheating, then how did Qin Yong calculate it? This is really incomprehensible to the Taoist teachings.

It turns out that this question was actually accidentally thought up by the Taoist himself, although the principle is indeed similar to the so-called "chicken and rabbit in the same cage" problem, but in the case of not knowing the truth, it should be extremely difficult to understand!

No, just like Wu Zixiang, a genius who had already learned the problem of "chickens and rabbits in the same cage" with him, it took three full days to figure it out. And even if it was him, even if he had already practiced, but after changing the values, it would take a full quarter of an hour to calculate the result, but, on the contrary, Qin Yong only spent half an hour!

Wouldn't that mean that Qin Yong's method was actually twice as fast as his method?

As soon as he thought of this, Dao Zhuye's heart was like a cat scratching, because he had been obsessed with "Ming arithmetic" all his life, and he had already reached a state of madness.

The reason why he used to think that Qin Yong's "Arabic numerals" were some strange and distorted studies was simply because he had not yet seen the magic of such "Arabic numerals". However, now that he felt the power of this "Arabic numerals", he immediately wanted to learn it, because the method of solving problems that could be doubled at once was something he had always dreamed of! (To be continued.) )