Question

Даны два числа 50% их разности равна 9,5 , 25% первого числа меньше 2 на 44 Решите задачу через систему уравнений (P.s Pasiba)

Answer 1

Пусть числа x и y

0,5(x-y) = 9,5
0,25x + 44 = y

x - y = 19
4y - x = 176

3y = 195

y = 65

x = 19 + 65 = 84

Ответ: (84; 65)

Answer 2

Problem Analysis

To solve the given problem, we need to set up a system of equations based on the information provided and then solve for the unknown variables. Let's analyze the problem step by step:

1. We are given two numbers. 2. The difference between 50% of the numbers is equal to 9.5. 3. 25% of the first number is 2 less than 44.

Let's assign variables to the unknown numbers. Let's call the first number "x" and the second number "y". Now we can set up the equations based on the given information.

Setting up the Equations

1. The difference between 50% of the numbers is equal to 9.5: - Equation 1: 0.5(x - y) = 9.5

2. 25% of the first number is 2 less than 44: - Equation 2: 0.25x = 44 - 2

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

Solving the System of Equations

Let's solve the system of equations using the substitution method:

From Equation 2, we can simplify it to: - Equation 2: 0.25x = 42

Solving Equation 2 for x: - x = 42 / 0.25 - x = 168

Now we can substitute the value of x into Equation 1:

0.5(x - y) = 9.5 0.5(168 - y) = 9.5 84 - 0.5y = 9.5 -0.5y = 9.5 - 84 -0.5y = -74.5 y = -74.5 / -0.5 y = 149

Therefore, the first number (x) is 168 and the second number (y) is 149.

Answer

The first number is 168 and the second number is 149.