Question

матери и сыну вместе 36 лет, сыну и отцу вместе 40 лет, а матери и отцу - 60 лет. Сколько лет каждому члену семьи?

Answer 1

отец и сын + мать и отец = два отца , мать и сын
два отца , мать и сын - мать и сын = 2 отца , ( 40+ 60=100, 100-36=64, 64/2=32
Это отцу
сыну - 8 , матери-28

Answer 2

Problem Analysis

We are given the information that the sum of the ages of a mother and son is 36 years, the sum of the ages of the son and father is 40 years, and the sum of the ages of the mother and father is 60 years. We need to determine the age of each family member.

Solution

Let's assign variables to represent the ages of the mother, son, and father. We'll use the variables M for the mother's age, S for the son's age, and F for the father's age.

From the given information, we can write the following equations:

1. M + S = 36 (the sum of the ages of the mother and son is 36 years) 2. S + F = 40 (the sum of the ages of the son and father is 40 years) 3. M + F = 60 (the sum of the ages of the mother and father is 60 years)

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

From equation 1, we can express M in terms of S: M = 36 - S.

Substituting this value of M into equations 2 and 3, we get:

(36 - S) + F = 60 (equation 4) S + F = 40 (equation 5)

Now we have a system of two equations with two variables (S and F). We can solve this system to find the values of S and F.

Let's solve equation 5 for F: F = 40 - S.

Substituting this value of F into equation 4, we get:

(36 - S) + (40 - S) = 60 76 - 2S = 60 -2S = -16 S = 8

Now we can substitute the value of S back into equation 5 to find F:

8 + F = 40 F = 40 - 8 F = 32

Finally, we can substitute the values of S and F into equation 1 to find M:

M + 8 = 36 M = 36 - 8 M = 28

Therefore, the age of the mother (M) is 28 years, the age of the son (S) is 8 years, and the age of the father (F) is 32 years.

Answer

The mother is 28 years old, the son is 8 years old, and the father is 32 years old.