Question

Возвраст папы составляет 45% от суммы возвроста мамы,мамы и их сына э.Если возвраст мамы составляет 40% от общей суммы,а сын мледше мамы на 20 лет,то найдете сколько лет отцу? помогите решить пожалуйста!​

Answer 1

м+с=100%

м=40%

с=20лет

100%-40%=60%

60%=20лет

60:20=3%

3%=1год

45%:3%=15лет папе

Answer 2

Problem Analysis

We are given the following information: - The father's age is 45% of the sum of the mother's age and the son's age. - The mother's age is 40% of the total sum. - The son is 20 years younger than the mother.

We need to find the father's age.

Solution

Let's assume the son's age is represented by x.

According to the given information: - The mother's age is 40% of the total sum, so the mother's age is 0.4 times the sum of the mother's age, the father's age, and the son's age: 0.4(mother's age + father's age + son's age). - The son is 20 years younger than the mother, so the son's age is the mother's age minus 20: mother's age - 20. - The father's age is 45% of the sum of the mother's age and the son's age, so the father's age is 0.45 times the sum of the mother's age and the son's age: 0.45(mother's age + son's age).

We can set up the following equation to solve for the father's age: 0.45(mother's age + son's age) = 0.4(mother's age + father's age + son's age).

Let's solve this equation step by step.

1. Substitute the value of the son's age in terms of the mother's age: 0.45(mother's age + (mother's age - 20)) = 0.4(mother's age + father's age + (mother's age - 20)).

2. Simplify the equation: 0.45(2 * mother's age - 20) = 0.4(2 * mother's age + father's age - 20).

3. Distribute the multiplication: 0.9 * mother's age - 9 = 0.8 * mother's age + 0.4 * father's age - 8.

4. Rearrange the equation to isolate the father's age: 0.4 * father's age = 0.8 * mother's age - 0.9 * mother's age + 9 + 8.

5. Simplify the equation: 0.4 * father's age = -0.1 * mother's age + 17.

6. Divide both sides of the equation by 0.4 to solve for the father's age: father's age = (-0.1 * mother's age + 17) / 0.4.

Now, let's substitute the given value of the mother's age (40% of the total sum) into the equation to find the father's age.

Calculation

The mother's age is 40% of the total sum, so we can represent it as 0.4 times the sum of the mother's age, the father's age, and the son's age.

Let's assume the sum of the mother's age, the father's age, and the son's age is represented by y.

The mother's age is 0.4 times y: 0.4y.

Substituting this value into the equation for the father's age, we get:

father's age = (-0.1 * 0.4y + 17) / 0.4.

Simplifying further:

father's age = (-0.04y + 17) / 0.4.

Now, let's substitute the given value of the son's age (20 years younger than the mother) into the equation to find the father's age.

The son's age is the mother's age minus 20: y - 20.

Substituting this value into the equation for the father's age, we get:

father's age = (-0.04(y - 20) + 17) / 0.4.

Simplifying further:

father's age = (-0.04y + 0.8 + 17) / 0.4.

Now, let's substitute the given value of the father's age (45% of the sum of the mother's age and the son's age) into the equation to find the father's age.

The father's age is 45% of the sum of the mother's age and the son's age: 0.45(y + (y - 20)).

Simplifying this expression, we get:

father's age = 0.45(2y - 20).

Now, let's equate the two expressions for the father's age and solve for y.

(-0.04y + 0.8 + 17) / 0.4 = 0.45(2y - 20).

Simplifying further:

-0.04y + 0.8 + 17 = 0.9y - 9.

Combining like terms:

-0.04y + 17.8 = 0.9y - 9.

Adding 0.04y to both sides and subtracting 17.8 from both sides:

0.94y = 26.8.

Dividing both sides by 0.94:

y = 28.51.

Since y represents the sum of the mother's age, the father's age, and the son's age, we can conclude that the sum is approximately 28.51.

Now, let's substitute this value back into the equation for the father's age to find the father's age.

father's age = 0.45(2 * 28.51 - 20).

Simplifying further:

father's age = 0.45(57.02 - 20).

father's age = 0.45(37.02).

father's age ≈ 16.66.

Therefore, the father's age is approximately 16.66 years.

Please note that the above calculations are based on the given information and assumptions made.