Question

Мать старше дочери на 24 года,а дочь моложе матери в 5 раз. Сколько лет матери и сколько лет дочери?

Answer 1

Дочери Х ( лет )
Матери ( Х + 24 ) 
5x = x + 24 
4x = 24 
x = 6 (  лет ) дочери 
6 + 24 = 30 ( лет ) матери

Answer 2

$\left \{ {{y-x=24} \atop {y=5x}} \right.$
4x=24
x=6
y=30
Ответ: Матери- 30 лет, а дочери- 6лет.

Answer 3

Calculating the Ages of the Mother and Daughter

To calculate the ages of the mother and daughter, we can use the given information that the mother is 24 years older than the daughter and the daughter is 5 times younger than the mother.

Let's denote the daughter's age as x and the mother's age as y.

We can set up the following equations based on the given information:

1. y = x + 24 (The mother is 24 years older than the daughter) 2. x = y / 5 (The daughter is 5 times younger than the mother)

Now, let's solve these equations to find the ages of the mother and daughter.

Solving for the Ages

Substituting the value of x from equation 2 into equation 1:

y = (y / 5) + 24

Multiplying through by 5 to clear the fraction:

5y = y + 120

Subtracting y from both sides:

4y = 120

Dividing by 4:

y = 30

So, the mother is 30 years old.

Substituting the value of y into equation 1 to find x:

x = 30 + 24

x = 54

So, the daughter is 54 years old.

Conclusion

The mother is 30 years old and the daughter is 54 years old.