Question

Учитель проводит урок в классе. Возраст учителя на 24 года больше среднего возраста учеников и на 22 года больше среднего возраста всех присутствующих в классе. Сколько в классе учеников?

Answer 1

n(x–24)=(n+1)(x–22)–x.
nx–24n = nx – 22n+x–22–x
–2n=–22
n=11.

Answer 2

Calculation of the Number of Students in the Class

To determine the number of students in the class, we need to solve the given problem using algebraic equations.

Let's assume the average age of the students in the class is x years. According to the problem, the teacher's age is 24 years older than the average age of the students, so the teacher's age would be x + 24 years.

Additionally, the teacher's age is also 22 years older than the average age of everyone present in the class, including the students. Therefore, the average age of everyone present in the class would be x - 22 years.

We can set up the following equation to represent the average age of everyone present in the class:

x - 22 = (x + 24)

Now, let's solve this equation to find the value of x, which represents the average age of the students in the class.

x - 22 = x + 24

By simplifying the equation, we get:

-22 = 24

This equation is not possible to solve because it leads to a contradiction. Therefore, there is no solution to this problem.

Based on the given information, it is not possible to determine the number of students in the class.