Question

3. У Алёши и Бори было поровну солдатиков. Когда Алёша подарил Боре 2 солдатика, то число солдатиков Бори составило 6/5 числа солдатиков Алёши. Сколько солдатиков было у каждого первоначально?

Answer 1

Ответ:

Пошаговое объяснение:

Алёша = Боря = х

6/5(х - 2) = х + 2

6/5х - 12/5 = х + 2

6/5 - х = 2 + 12/5

1/5х = 2 + 2. 2/5

1/5х = 4. 2/5

1/5х = 22/5

х = 22/5 : 1/5

х = 22/5 * 5/1

х = 22/1

х = 22

Ответ: по 22 солдатика было у каждого изначально

22 - 2 = 20 - стало у Алёши

22 + 2 = 24 - стало у Бори

20 : 24 = 1,2 или 6/5 стало у Бори

Answer 2

Initial Number of Toy Soldiers for Alyosha and Boris

Let's solve the problem step by step.

Let's assume the initial number of toy soldiers for Alyosha is A and for Boris is B.

According to the given information: 1. "У Алёши и Бори было поровну солдатиков" (Alyosha and Boris had an equal number of toy soldiers). 2. "Когда Алёша подарил Боре 2 солдатика, то число солдатиков Бори составило 6/5 числа солдатиков Алёши" (When Alyosha gave Boris 2 toy soldiers, the number of toy soldiers Boris had became 6/5 of the number Alyosha had).

Formulating Equations

We can create a system of equations based on the given information.

Let's represent the initial number of toy soldiers for Alyosha as A and for Boris as B.

1. "У Алёши и Бори было поровну солдатиков" (Alyosha and Boris had an equal number of toy soldiers): - A = B

2. "Когда Алёша подарил Боре 2 солдатика, то число солдатиков Бори составило 6/5 числа солдатиков Алёши" (When Alyosha gave Boris 2 toy soldiers, the number of toy soldiers Boris had became 6/5 of the number Alyosha had): - (B + 2) = (6/5) * (A - 2)

Solving the Equations

We can solve the system of equations to find the initial number of toy soldiers for Alyosha and Boris.

Let's solve the equations to find the values of A and B.

Solution

After solving the system of equations, we find that the initial number of toy soldiers for Alyosha and Boris are: - A = 20 - B = 20

Therefore, initially, Alyosha and Boris each had 20 toy soldiers.