Question

У трёх братьев разное количество марок. Если старший даст среднему 1 марку, а средний даст младшему 3 марки, то у всех станет поровну. Сколько марок должен дать старший младшему, чтоб у них ДВОИХ стало поровну. пожалуйста помогите

Answer 1

1)1+3=4(м) у каждого если поровну
2)4-3=1(м) у младшего
3)4-1=3(м) у среднего
4)4+1=5(м) у старшего
5)5-3=2(м) должен дать старший младшему
Ответ: старший должен дать 2 марки

Answer 2

Problem Analysis

We have three brothers, and each brother has a different number of stamps. If the oldest brother gives 1 stamp to the middle brother and the middle brother gives 3 stamps to the youngest brother, then they will all have an equal number of stamps. We need to determine how many stamps the oldest brother should give to the youngest brother so that only two of them have an equal number of stamps.

Solution

Let's assume that the oldest brother has x stamps, the middle brother has y stamps, and the youngest brother has z stamps.

According to the problem, if the oldest brother gives 1 stamp to the middle brother and the middle brother gives 3 stamps to the youngest brother, then they will all have an equal number of stamps.

So, we can write the following equations:

1. After the oldest brother gives 1 stamp to the middle brother: x - 1 = y + 1 2. After the middle brother gives 3 stamps to the youngest brother: y - 3 = z + 3

To find the number of stamps the oldest brother should give to the youngest brother so that only two of them have an equal number of stamps, we need to solve these equations.

Let's solve the equations step by step:

From equation 1, we can rewrite it as: x = y + 2.

Substituting this value of x in equation 2, we get: y + 2 - 1 = z + 3.

Simplifying the equation, we have: y + 1 = z + 3.

Now, we can rewrite this equation as: y = z + 2.

So, the number of stamps the oldest brother should give to the youngest brother is 2.

Therefore, the oldest brother should give 2 stamps to the youngest brother so that only two of them have an equal number of stamps.

Answer

The oldest brother should give 2 stamps to the youngest brother so that only two of them have an equal number of stamps.