Question

Решите задачу составив систему уравнений сумма 2 чисел равна 81 А их разность равна 15 Найдите эти числа​

Answer 1

Ответ:

Внизу)

Пошаговое объяснение:

Пусть будет даны числа х и у. Тогда по условию

Х + у = 81

Х - у = 15

Решим систему уравнений:

2х = 96

Х = 48

Подставим значение х в любое из уравнений:

48-у=15

У = 48-15

У= 33.

Отв: 48 и 33

Answer 2

Ответ:

х=48

y=33

Пошаговое объяснение:

x+y=81

x-y=15

y=x-15

x+x-15=81

2x=81+15

x=96:2

x=48

y=48-15=33

Answer 3

Problem Analysis

We are given that the sum of two numbers is 81 and their difference is 15. Let's assume the two numbers are x and y. We can set up the following system of equations to represent the given information:

Equation 1: x + y = 81 Equation 2: x - y = 15

To solve this system of equations, we can use the method of substitution or elimination.

Solution using Substitution Method

We can solve the system of equations by solving Equation 2 for x and substituting it into Equation 1.

From Equation 2, we have x = y + 15. Substituting this into Equation 1, we get:

(y + 15) + y = 81

Simplifying the equation, we have:

2y + 15 = 81

Subtracting 15 from both sides, we get:

2y = 66

Dividing both sides by 2, we get:

y = 33

Substituting the value of y back into Equation 1, we have:

x + 33 = 81

Subtracting 33 from both sides, we get:

x = 48

Therefore, the two numbers are x = 48 and y = 33.

Answer

The two numbers are 48 and 33.