Question

Помогите решить. Папе 40 лет.Возраст Володи составляет три восьмых возраста папы и три седьмых возраста мамы.Сколько лет маме и сколько - Володе?

Answer 1

Володе - 15 лет
Маме - 35 лет

Answer 2

40*3/8=15 Володе
15/3/7=35 лет маме

Answer 3

Problem Analysis

We are given that the father is 40 years old, and the age of Volodya is three-eighths of the father's age plus three-sevenths of the mother's age. We need to find the ages of the mother and Volodya.

Solution

Let's assume the mother's age is M and Volodya's age is V.

According to the given information, we have the following equation: V = (3/8) * 40 + (3/7) * M

To solve this equation, we need to find the value of M and V.

Calculation

Let's calculate the values of M and V using the given equation.

V = (3/8) * 40 + (3/7) * M V = 15 + (3/7) * M

Now, let's substitute the value of V in terms of M into the equation.

V = 15 + (3/7) * M (3/7) * M = V - 15 M = (7/3) * (V - 15)

We can substitute the value of M in terms of V back into the original equation to solve for V.

V = (3/8) * 40 + (3/7) * M V = 15 + (3/7) * [(7/3) * (V - 15)]

Simplifying the equation:

V = 15 + (3/7) * [(7/3) * V - (7/3) * 15] V = 15 + (3/7) * [(7/3) * V - 35] V = 15 + (3/7) * [(7V/3) - 35] V = 15 + (3/7) * [(7V - 105)/3] V = 15 + (1/3) * (7V - 105) V = 15 + (7V - 105)/3 3V = 45 + 7V - 105 3V - 7V = -60 -4V = -60 V = -60 / -4 V = 15

Now that we have found the value of V, we can substitute it back into the equation to find the value of M.

M = (7/3) * (V - 15) M = (7/3) * (15 - 15) M = (7/3) * 0 M = 0

Answer

Therefore, the age of the mother is 0 years and the age of Volodya is 15 years.