Chapter 401 Chickens and rabbits in the same cage!
Chapter 401 A chicken and a rabbit in the same cage!
"count?
Haha! Boy, it’s not that I look down on you, this arithmetic is the most basic of the Qimen Dunjia techniques. If I say it’s second, not many people would dare to say it’s first.”
Xing Fengchu said in a deep voice.
"Haha! Senior, if that's the case, it's better for men to do this. You will ask the questions and the juniors will answer. If the juniors answer, then the juniors will ask the questions and you will answer."
Lin Fan said with a smile.
Xing Fengchu glanced at Lin Fan sideways, and then said: "Okay, I will tell you an arithmetic problem that has been passed down from ancient times, but I have to change the numbers."
"A chicken and a rabbit share a cage. Counting from the top, there are ninety-nine heads in total. Counting from the bottom, there are three hundred and two legs. How many rabbits and chickens are there?"
After Xing Fengchu said that, she twirled her beard and drank hot wine.
In his opinion, this question was very difficult. Even for him, it might take him half a day. A young man like Lin Fan would definitely not be able to do it.
After hearing this, Lin Fan rolled his eyes at Xing Fengchu. This old boy actually gave himself a classic chicken and rabbit in a cage problem. It was difficult in ancient times, but in the 21st century, it is a problem for elementary school students.
"Old senior, are you deliberately letting off steam?
There was such a simple question."
Lin Fan said in a deep voice.
"kindness?
Simple?
Boy, I think you are being arrogant. If it is really simple, then you can answer it for me now. Otherwise, don’t blame me for not giving you face!"
Xing Fengchu said, pretending to be very angry.
Lin Fan said with a smile: "Let's first assume that the number of rabbits is x and the number of chickens is y. Then, based on the existing data, we can conclude that x plus y equals ninety-nine."
"And four x plus two y equals three hundred and two, so we can conclude that four x plus two y minus x minus y equals three hundred and two minus ninety-nine."
"With this, we can also conclude that three x plus y equals two hundred and three."
"Then let's break it down. Two x plus x plus y is equal to two hundred and three. Then, knowing that x plus y is equal to ninety-nine, we can also conclude that two x is equal to two hundred and ninety-nine.
, equal to one hundred and four.”
"Since two x equals one hundred and four, then x equals fifty-two."
"In other words, the number of rabbits is fifty-two, and the number of chickens is ninety-nine minus fifty-two, which equals forty-seven."
Lin Fan calculated the number of chickens and rabbits very easily. Xing Fengchu was stunned on the spot. He silently checked it in his mind, and it turned out to be correct!
this!
For a question like this, he had to go through the process of elimination and calculation for a long time before he could get the correct answer. Why did this young man just calculate xy and so on?
Zhao Dashan on the side was also dumbfounded. He didn't know arithmetic, so naturally he couldn't understand what Lin Fan just said. He also didn't know what it meant to calculate Xing Fengchu's question so quickly.
"Boy, how did you calculate that?"
Xing Fengchu asked.
"Didn't I just tell you the formula and process of calculation?"
Lin Fan asked rhetorically.
Gudu!
Xing Fengchu swallowed a big gulp of saliva. When Lin Fan did the math just now, he really explained the whole process. However, he had never heard of this method.
'
"What are x and y? Where did you get them?"
Xing Fengchu asked.
"X and y are just algebra, that is, the numbers I use to replace the answers. It can be A, B, C, D, or any symbol."
"I use such symbols just to facilitate verification."
Lin Fan said in a deep voice.
"Yes! You are so right. These x and y initially represent the correct answer. Boy, your method is really wonderful. I will study it carefully when I go back!"
Xing Fengchu said excitedly.
Lin Fan looked at him sideways, you old kid has taken the bait, how can I let you run away?
He looked at Xing Fengchu and said: "Senior, I have figured out the questions you asked, so next, is it my turn to come up with the questions?"
"Haha! That's right, after I've given you the questions, it's your turn. Don't worry, kid. Regardless of whether I can calculate the questions you give me, I will satisfy your request."
Xing Fengchu said with a smile.
Lin Fan's calculation method allowed Xing Fengchu to open a door to a new world. Therefore, if Lin Fan wanted something from him, he could take action once.
Lin Fan said solemnly: "Senior, it's righteous! My question is similar to the one given by my predecessor. It's also about chickens and rabbits sharing the same cage. However, in mine, the number of chickens and rabbits in the cage is uncertain. However, the number of chickens is rabbits.
Three times the number minus five."
"Then I would like to ask, senior, what is the minimum number of chickens and rabbits."
"Senior, there can be countless answers to this arithmetic problem, and the answer that senior wants to calculate is the least one."
this!
Xing Fengchu looked at Lin Fan with wide eyes. This kid said that this question was similar to the one he gave, but with a slight change, it was not as difficult as usual!
You didn't give me a number at all, just five, and this five is not the number of chickens or rabbits. How do you ask me to calculate it?
Xing Fengchu kept stroking her beard, and Xing Nian'er on the side saw that her grandfather was stumped, and immediately looked at Lin Fan with a pouted mouth, and said: "You! This question you asked is too difficult, can you calculate it yourself?
"
Lin Fan looked at Xing Nian'er and said: "Of course I can calculate it, and there are still x and y to calculate it."
"Hmph! You must have already known the answer to your question. Let me change it for you. As for chickens and rabbits in the same cage, the number of chickens is nine times the number of rabbits minus eleven. For you,
What is the minimum number of chickens and rabbits in the cage?"
Xing Nian'er looked at Lin Fan proudly, thinking that she had changed the question like this, how much it had improved, making it difficult for my grandpa, let's see how you answer.
Lin Fan smiled slightly and said: "Let's first assume that the number of rabbits is
The number of chickens is nine times one, which is nine, and the number of rabbits is one plus eleven, which is twelve.”
"you!"
Xing Nian'er was stunned when she heard that Lin Fan had easily answered the question.
Xing Fengchu also looked shocked at this time. How could such a difficult question become so easy in the hands of this kid?
"Boy, you! What if I make the questions more difficult?
There are thirty-five chickens and rabbits in the same cage. It is known that the number of chickens is twice the number of rabbits minus five. Tell me, how many chickens and rabbits are there?"