Question

Помогите решить задачу с решением! Узнайте,сколько сейчас лет мне и моему папе,если сейчас сумма возраста моего и папы на 6 лет больше возраста папы через шесть лет и через 6 лет папа будет старше меня в 2,5 раза?

Answer 1

Х лет мне
у лет папе

х+у-6=у+6
х+у-у=6+6
х=12 (лет) мне

у+6=2,5(12+6)
у+6=2,5*18
у=45-6
у=39 (лет) папе

Ответ: сейчас папе 39 лет, а мне 12 лет

Answer 2

Problem Analysis

To solve this problem, we need to find the current ages of the user and their father. We are given that the sum of their ages is 6 years more than the father's age in 6 years, and that in 6 years, the father will be 2.5 times older than the user.

Let's denote the user's current age as x and the father's current age as y. We can set up the following equations based on the given information:

1. The sum of their ages is 6 years more than the father's age in 6 years: x + y = y + 6

2. In 6 years, the father will be 2.5 times older than the user: y + 6 = 2.5 * (x + 6)

We can solve this system of equations to find the values of x and y.

Solution

Let's solve the system of equations:

1. x + y = y + 6 2. y + 6 = 2.5 * (x + 6)

From equation 1, we can simplify it to: x = 6

Substituting x = 6 into equation 2, we have: y + 6 = 2.5 * (6 + 6) y + 6 = 2.5 * 12 y + 6 = 30 y = 30 - 6 y = 24

Therefore, the user's current age is 6 and the father's current age is 24.

Answer

Based on the given information, the user's current age is 6 and the father's current age is 24.