Have fun with the math / ¿121 + 33 = 204?

Dear friends of Steemit, that if we go back to the numbering systems, remember that in an earlier post I offered to talk about other numbering systems besides the base 10, because the time has come.

For this I will base in the following story. A teacher from a certain school asks you how many students have you? To which he responds very seriously and imperturbably, I have a total of 204 students, 33 males and 121 females.

On hearing such an answer, those who listened to him were amazed, looked at one another, asked in the exchange of looks what happened to the teacher ?, has he lost his mind? At that moment a co-worker of the teacher arrives, and when he sees them like this, he asks "What happens ?, one of the present explains in a very prudent way and in a low voice what has been happening, to hear such an explanation, the newcomer explodes And says, these are the things I like about Luis (that's the name of the teacher, and that all of them remained undisturbed).

Why do you say that, is that the teacher is wearing a joke, of course, the newcomer responds, is playing a mathematical joke.

Well, yes, the teacher used to play word games where mathematical curiosities were involved: finally the teacher to see everything he had generated with his answer and with the clarification of his friend, also began to laugh, and told them; I'll explain, there are different numbering systems, at this time I'm using the base numbering system 5; Then took his marker and began to explain on his blackboard.

I have a total of 204 students in the base system 5 that if I want to express it in the base system 10, I do the following procedure; 204= 2x5 ^ 2 + 0x5 + 4 = 2x25 +0 + 4 = 54 , this value, 54 is the total number of students that I actually have. As for the number of females 121, I do the same to express it to the decimal numbering system: 121= 1x5^2 +2 x5 +1=25+10+1= 36, (36 females) and that of males is 33= 3x5 +3 = 15 +3= 18, this in the decimal number system means that I have 18 boys .

With this explanation were satisfied those who were there, and congratulated the teacher for his creativity.