Question

Сумма двух чисел равна 56, а их разность равна 14.Найдите эти числа. Тема(Системы уравнений)

Answer 1

Х - первое число, у - второе число
х+у=56
х-у=14
х=14+у
14+у+у=56
14+2у=56
2у=56-14
2у=42
у=42÷2
у=21
х=14+21
х=35
Ответ 35 и 21

Answer 2

Первое число x, второе x+14. Получаем уравнение:
x+x+14=56
2x=42
x=21
21+14=35
Числа эти 35 и 21

Answer 3

Solving the System of Equations

To find the two numbers, let's denote the numbers as x and y. We know that the sum of the two numbers is 56, and their difference is 14. We can represent this information in the form of equations:

1. Equation 1: x + y = 56 2. Equation 2: x - y = 14

We can solve this system of equations to find the values of x and y.

Solving for x and y

To solve for x and y, we can use the method of substitution or elimination. Let's use the method of substitution.

From Equation 2, we can express x in terms of y: x = y + 14.

Now, we can substitute this expression for x into Equation 1: (y + 14) + y = 56 2y + 14 = 56 2y = 56 - 14 2y = 42 y = 42 / 2 y = 21

Now that we have found the value of y, we can substitute it back into the expression for x: x = 21 + 14 x = 35

Conclusion

Therefore, the two numbers are 35 and 21.