Question

Решите логическую задачу: «Пять лет назад моему брату было ровно в два раза больше лет, чем мне тогда, а через 8 лет нам вместе будет 50 лет. Сколько лет мне сейчас?»

Answer 1

50-2*8=34 нам сейчас вместе
34-2*5=24 нам было 5 лет назад вместе
1 доля мне, 2 доли из 24 лет брату, т.к. он был старше в 2 раза, значит итого 3 доли
24:3=8 было мне
8*2=16 было брату, проверка: 8+16=24

8+5=13 мне сейчас
16+5=21 брату сейчас, проверка:  13+21=34

13+8=21 мне будет через 8 лет
21+8=29 брату будет через 8 лет, проверка 21+29=50

Answer 2

Problem Analysis

To solve this logical problem, we need to determine the current age of the person based on the given information. Five years ago, the person's brother was twice as old as the person was at that time. In eight years, the combined age of the person and their brother will be 50 years. We need to calculate the current age of the person.

Solution

Let's assume the current age of the person is x years. Based on the given information, we can create the following equations:

1. Five years ago, the brother's age was twice the person's age at that time: - Brother's age 5 years ago: x + 5 - Person's age 5 years ago: x - 5 - Equation 1: x + 5 = 2(x - 5)

2. In eight years, the combined age of the person and their brother will be 50 years: - Combined age in 8 years: (x + 8) + (x + 5 + 8) - Equation 2: (x + 8) + (x + 13) = 50

Let's solve these equations to find the value of x.

Solving the Equations

We'll start by solving Equation 1:

x + 5 = 2(x - 5)

Expanding the equation:

x + 5 = 2x - 10

Bringing x terms to one side and constants to the other side:

x - 2x = -10 - 5

Simplifying:

-x = -15

Multiplying both sides by -1 to isolate x:

x = 15

Now, let's substitute the value of x into Equation 2:

(15 + 8) + (15 + 13) = 50

Simplifying:

23 + 28 = 50

51 = 50

The equation is not true, which means there is no solution that satisfies both equations. It seems there might be an error in the given information or the problem itself.

Unfortunately, based on the given information, we cannot determine the current age of the person.