Question

ПОМОГИТЕ ОЧЕНЬ СРОЧНО НАДО На вопрос учеников о дне его рождения учитель ответил загадкой: «Если сложить день и номер месяца моего рождения, то получится 20; если из дня рождения вычесть номер месяца рождения, то получится 14; если к произведению дня и номера месяца моего рождения прибавить 1900, то получится год моего рождения ». Когда родился учитель математики? пожалуйста можно решить уранением

Answer 1

Х день рождения
у- месяц
составим систему уравнений
х+у=20
х-у=14

2х=34
х=17
у=20-17=3
х*у+1900=17*3+1900=51+1900=1951
 Ответ 17 марта 1951 г

Answer 2

Problem Analysis

The teacher responded to the students' question about his birthday with a riddle. The riddle states that if you add the day and the month of his birthday, the result is 20. If you subtract the month from the day of his birthday, the result is 14. And if you add 1900 to the product of the day and the month of his birthday, the result is the year of his birth. We need to determine the date of the teacher's birthday using this information.

Solution

Let's assume the day of the teacher's birthday is represented by D and the month is represented by M. We can set up the following equations based on the given information:

Equation 1: D + M = 20 (Adding the day and the month of the birthday gives 20) Equation 2: D - M = 14 (Subtracting the month from the day of the birthday gives 14) Equation 3: D * M + 1900 = Year (Adding 1900 to the product of the day and the month gives the year of birth)

To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method.

From Equation 1, we can express D in terms of M as D = 20 - M.

Substituting this value of D into Equation 2, we get 20 - M - M = 14.

Simplifying the equation, we have 20 - 2M = 14.

Solving for M, we subtract 20 from both sides and divide by -2: -2M = 14 - 20 -> -2M = -6 -> M = 3.

Now that we have the value of M, we can substitute it back into Equation 1 to find D: D + 3 = 20 -> D = 20 - 3 -> D = 17.

Therefore, the teacher's birthday is on the 17th of the 3rd month, which is March.

Answer

The teacher of mathematics was born on the 17th of March.

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