Question

В театре среди зрителей было 457женщин и детей.если число женщин увеличить в 2раза и к полученному результату прибавить 10,то мы получим число равное количеству детей Ск.детей смотрело представление

Answer 1

Пусть количество женщин - X человек.
Тогда количество детей - 2X + 10   человек
Всего зрителей: X + 2X + 10   человек
По условию задачи всего зрителей - 457 человек
Составим уравнение:
X + 2X + 10 = 457
3X + 10  = 457
3X = 447
X = 149 
Было 149 женщин, тогда
149*2 + 10 = 308 детей

Answer 2

Problem Analysis

We are given that there were 457 women and children in the theater. If we increase the number of women by 2 times and add 10 to the result, we will get the same number as the number of children. We need to find the number of children who watched the performance.

Solution

Let's assume the number of women in the theater is x. According to the problem, if we increase the number of women by 2 times and add 10 to the result, we will get the same number as the number of children.

Mathematically, this can be represented as:

2x + 10 = x

To solve this equation, we can subtract x from both sides:

2x - x + 10 = 0

Simplifying further:

x + 10 = 0

Subtracting 10 from both sides:

x = -10

However, the number of women cannot be negative, so there must be an error in the problem statement or the given information. Please double-check the information provided.

If you have any other questions, feel free to ask!