Question

Гуляли по парку мама папа сын и семимесячная дочка .Папа с сыном решили сосчитать ,сколько же каждому из них месяцев .Оказалось ,что сын старше дочки в 8 раз ,мама младше папы на 1,5года ,а их общий возраст 53года и 9месяцев .Укажите возраст папыа)4 года 8 мес б)23,е лет в)25 лет г)27 лет

Answer 1

Сыну=8*7=42(мес)или 3.5года
Узнаем в месецах общий возраст родителей
53*12+9=636
1.5 года =18месяцов
636:2=313
313-9=304(мес)маме
313+9=322 (мес) папе
322:12~27лет папе

Answer 2

Возраст папы =20частей+5 лет
возраст сына = 20 частей/4
возраст дочи = 20 частей/5
всего 103 = (20+20+4+5) частей+5 лет
98=49частей
часть=2 года
Мама: 20*2=40 лет
Папа: 40+5=45 лет
Сын: 40/4=10 лет
Дочь: 40/5=8 лет
Проверка: 40+45+10+8=103 года

Answer 3

Problem Analysis

We are given the following information: - A family consisting of a mother, father, son, and a seven-month-old daughter went for a walk in the park. - The father and son decided to calculate their ages in months. - The son is 8 times older than the daughter. - The mother is 1.5 years younger than the father. - The total age of the family is 53 years and 9 months.

We need to determine the age of the father.

Solution

Let's assign variables to the ages of the father, mother, son, and daughter: - Let F be the age of the father in years. - Let M be the age of the mother in years. - Let S be the age of the son in years. - Let D be the age of the daughter in years.

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

1. The son is 8 times older than the daughter: - S = 8D 2. The mother is 1.5 years younger than the father: - M = F - 1.5 3. The total age of the family is 53 years and 9 months: - F + M + S + D = 53 years and 9 months

To solve this system of equations, we need to convert the total age into months.

Conversion to Months

To convert the total age of 53 years and 9 months into months, we can multiply the years by 12 and add the months:

Total age in months = (53 * 12) + 9 = 645 months

Now we can substitute the values into the equations and solve for the age of the father.

Solving the Equations

Substituting equation 1 into equation 3, we get:

F + (F - 1.5) + 8D + D = 645

Simplifying the equation:

2F + 9D - 1.5 = 645

Substituting equation 2 into the simplified equation:

2(F - 1.5) + 9D - 1.5 = 645

Simplifying further:

2F - 3 + 9D - 1.5 = 645

2F + 9D - 4.5 = 645

2F + 9D = 649.5

Now we have two equations:

2F + 9D = 649.5 S = 8D Substituting equation 1 into equation 3:

2F + 9(8D) = 649.5

Simplifying:

2F + 72D = 649.5

Now we have two equations:

2F + 72D = 649.5 S = 8D We can solve this system of equations to find the values of F and D.

Solving the System of Equations

To solve the system of equations, we can use substitution. We know that S = 8D, so we can substitute this value into equation 4:

2F + 72(8D) = 649.5

Simplifying:

2F + 576D = 649.5

Now we have one equation with one variable:

2F + 576D = 649.5 We can solve this equation to find the value of F.

Solving for F

To solve for F, we need to isolate F in equation 5.

2F = 649.5 - 576D

F = (649.5 - 576D) / 2

Now we have the equation for F in terms of D. We can substitute the value of D from equation 1 into this equation to find the value of F.

Calculation

Let's calculate the value of F using the given information.

Substituting the value of D from equation 1 into the equation for F:

F = (649.5 - 576(8D)) / 2

F = (649.5 - 4608D) / 2

Now we can substitute the value of F into the equation for D:

S = 8D

S = 8(649.5 - 4608D) / 2

S = (5196 - 36864D) / 2

Now we have the equation for S in terms of D.

Conclusion

To determine the age of the father, we need to solve the equation F = (649.5 - 576(8D)) / 2 and find the corresponding value of F.

Unfortunately, without knowing the specific ages of the son and daughter, we cannot determine the exact age of the father. The given information is not sufficient to solve the problem.

Therefore, we cannot determine the age of the father from the given information.