Question

Семья состоит из четырех человек матери Отца Сына и дочери отец на 5 лет старше матери матери от старшины 5 раз старше дочери сколько лет каждому Если сумма их возрастов 103 года подсказка примитивов и смотри 24

Answer 1

семья состоит из 4 человек матери отца сына и дочери Отец старше матери на 5 лет мать старше сына в 4 раза и в 5 раз старше дочери Сколько лет кажлому если сумма их возрастов 103 года

Answer 2

Problem Analysis

We are given a family consisting of a mother, father, son, and daughter. The father is 5 years older than the mother, and the mother is 5 times older than the daughter. The sum of their ages is 103 years. We need to determine the age of each family member.

Solution

Let's assign variables to represent the ages of the family members: - Let's call the mother's age M. - The father's age will be F = M + 5. - The daughter's age will be D. - The son's age will be S = 5D.

We know that the sum of their ages is 103, so we can write the equation: M + F + D + S = 103.

Substituting the values of F and S in terms of M and D, we get: M + (M + 5) + D + 5D = 103.

Simplifying the equation: 2M + 6D + 5 = 103, 2M + 6D = 98.

Now we have two unknowns and one equation. We need another equation to solve for the ages of each family member.

From the given information, we know that the father is 5 years older than the mother: F = M + 5.

We can substitute this equation into the previous equation: 2M + 6D = 98, 2(M + 5) + 6D = 98, 2M + 10 + 6D = 98, 2M + 6D = 88.

Now we have a system of two equations with two unknowns: 2M + 6D = 88, 2M + 6D = 98.

We can solve this system of equations to find the values of M and D.

Solving the System of Equations

To solve the system of equations, we can subtract the first equation from the second equation: (2M + 6D) - (2M + 6D) = 98 - 88, 0 = 10.

This means that the system of equations has no solution. There is an inconsistency in the given information.

Conclusion

Based on the given information, there is no solution that satisfies the conditions. It is not possible to determine the ages of each family member.