Question

не могу решить задачу Мише вмести с папой 42 года,его брату Саше вмести с папой 40 лет, а им всем вмести 50 лет. Узнать, сколько лет каждому из них.

Answer 1

х - возраст папы

42 - х - возраст Миши

40 - х - возраст Саши

составляем уравнение:

х + (42 - х) + (40 - х) = 50, раскрываем скобки

х + 42 - х + 40 - х = 50

- х + 82 = 50

- х = 50 - 82

- х = - 32

х = 32 - года - возраст папы

42 - 32 = 10 лет Мише

40 - 32 = 8   лет Саше

 

ПРОВЕРКА:

 

32+10+8=50

Answer 2

Problem Analysis

To solve this problem, we need to find the ages of three individuals: Misha, his brother Sasha, and their father. We are given the following information: - Misha and his father together are 42 years old. - Sasha and his father together are 40 years old. - The three of them together are 50 years old.

Let's assume that Misha's age is represented by M, Sasha's age is represented by S, and their father's age is represented by F.

Solution

To find the ages of each individual, we can set up a system of equations based on the given information.

1. Misha and his father together are 42 years old: - M + F = 42

2. Sasha and his father together are 40 years old: - S + F = 40

3. The three of them together are 50 years old: - M + S + F = 50

We now have a system of three equations with three unknowns. We can solve this system to find the values of M, S, and F.

Solving the System of Equations

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

From equation 1, we have: M + F = 42 => M = 42 - F

Substituting this value of M into equation 3, we get: (42 - F) + S + F = 50 => 42 + S = 50 => S = 50 - 42 => S = 8

Now, substituting the value of S into equation 2, we get: 8 + F = 40 => F = 40 - 8 => F = 32

Finally, substituting the values of S and F into equation 1, we get: M + 32 = 42 => M = 42 - 32 => M = 10

Solution Summary

Based on the given information, we have found the following ages: - Misha is 10 years old. - Sasha is 8 years old. - Their father is 32 years old.

Therefore, Misha is 10 years old, Sasha is 8 years old, and their father is 32 years old.

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