Question

Решите с помощью уравнения задачу 2 способами. Витя задумал число если к этому числу прибавить 23 и к полученной сумме прибавить 18 то будет 52 Какое число задумал Витя?

Answer 1

1 способ.

52-(23+18)=11
Ответ: витя задумал число 11

2 способ

х+23+18=52

х=52-23-18

х=11

ответ: витя задумал число 11

Answer 2

1. 1)23+18=41
    2)52-41=11
Ответ  число 11

2 х+23+18=52

х=52-23-18

х=11

ответ  число 11

Answer 3

Solving the Equation

To solve the problem using an equation, we can represent the situation with a variable and then solve for that variable.

Let's denote the number Vitya thought of as x.

According to the given information, if we add 23 to this number, we get x + 23. Then, if we add 18 to this sum, we get x + 23 + 18.

This sum is equal to 52, so we can write the equation as: x + 23 + 18 = 52

Now, we can solve this equation in two different ways.

Method 1: Solving the Equation Algebraically

We can solve the equation algebraically by isolating the variable x.

x + 23 + 18 = 52 x + 41 = 52 x = 52 - 41 x = 11

So, the number Vitya thought of is 11.

Method 2: Solving the Equation Using Substitution

We can also solve the equation by using substitution to verify the result.

Let's substitute x = 11 into the original equation: 11 + 23 = 34 34 + 18 = 52

As we can see, the result is consistent with the given information, confirming that the number Vitya thought of is indeed 11.

Therefore, Vitya thought of the number 11.