Question

Мать старше дочери в 2,5 раза,а 6 лет назад мать была в 4 раза старше дочери .Сколько лет дочери?

Answer 1

X - возраст дочери
2,5x - возраст матери
6 лет назад
4*(x-6) - возраст дочери 6 лет назад
2,5x-6 - возраст матери 6 лет назад
2,5x-6=4*(x-6)
2,5x-6=4x-24
2,5x-4x=-24+6
-1,5x=-18
x=-18:(-1,5)
x=12   лет дочери

Answer 2

Solution

To solve this problem, we can use algebraic equations to represent the given information and then solve for the age of the daughter.

Let's denote the current age of the daughter as D and the current age of the mother as M. We are given two pieces of information:

1. The mother is older than the daughter by 2.5 times. 2. Six years ago, the mother was 4 times older than the daughter.

We can represent these statements as equations and solve for the age of the daughter.

Equations

1. The mother is older than the daughter by 2.5 times: - M = D + 2.5D

2. Six years ago, the mother was 4 times older than the daughter: - (M - 6) = 4*(D - 6)

Solving the Equations

Let's solve these equations to find the age of the daughter.

Substitution

We can substitute the value of M from the first equation into the second equation and solve for D.

Calculation

Substituting M = D + 2.5D from the first equation into the second equation: - (D + 2.5D - 6) = 4*(D - 6)

Expanding and simplifying the equation: - 3.5D - 6 = 4D - 24 - 3.5D - 4D = -24 + 6 - -0.5D = -18 - D = -18 / -0.5 - D = 36

Answer

The current age of the daughter is 36 years.