Question

у двоих братьев было вместе 112 руб. после того как старший брат отдал младшему 14 руб, у него осталось все же больше денег, чем у младшего,но всего лишь на 10 руб. сколько денег было у каждого мальчика первоначально?(не урпвнением)

Answer 1

112+10=122 руб удвоенная сумма денег у старшего мальчика, после того, как он отдал 14 руб

122/2=61 руб стало у старшего мальчика, после того, как он отдал 14 руб 

61+14=75 руб было у  старшего мальчика первоначально

112-75= 37 руб было у младшего мальчика первоначально

Answer 2

Problem Analysis

We are given that two brothers had a total of 112 rubles. After the older brother gave 14 rubles to the younger brother, the older brother still had 10 rubles more than the younger brother. We need to determine how much money each boy had initially.

Solution

Let's assume the initial amount of money the older brother had is x rubles. Since the older brother gave 14 rubles to the younger brother, he would have x - 14 rubles left. We are also given that the older brother had 10 rubles more than the younger brother after giving him the money. Therefore, we can set up the following equation:

(x - 14) = (y + 10)

where y represents the initial amount of money the younger brother had.

To solve this equation, we can simplify it:

x - 14 = y + 10

Rearranging the equation, we get:

x - y = 24

Since we know that the total amount of money the two brothers had initially was 112 rubles, we can set up another equation:

x + y = 112

Now we have a system of two equations with two variables. We can solve this system to find the values of x and y.

Solving the System of Equations

To solve the system of equations, we can use the method of substitution. We can solve one equation for one variable and substitute it into the other equation.

From the equation x + y = 112, we can solve for x:

x = 112 - y

Substituting this value of x into the equation x - y = 24, we get:

(112 - y) - y = 24

Simplifying the equation, we have:

112 - 2y = 24

Now, let's solve for y:

112 - 2y = 24

Subtracting 112 from both sides:

-2y = -88

Dividing both sides by -2:

y = 44

Now that we have the value of y, we can substitute it back into the equation x = 112 - y to find the value of x:

x = 112 - 44

Simplifying the equation, we get:

x = 68

Therefore, the initial amount of money the older brother had was 68 rubles, and the initial amount of money the younger brother had was 44 rubles.

Answer

The older brother initially had 68 rubles, and the younger brother initially had 44 rubles.

Please let me know if I can help you with anything else.