Question

Помогите решить задачу сумма двух чисел равна 120, а их разность равна 5 найти эти числа

Answer 1

1) ( 120 + 5 ) : 2 = 62,5 ( большее число )
2) 62,5 - 5 = 57,5 ( меньшее число )
Ответ 62,5 и 57,5

Answer 2

Problem Analysis

To solve this problem, we need to find two numbers whose sum is 120 and whose difference is 5. Let's assume the two numbers are x and y. We can set up the following equations based on the given information:

Equation 1: x + y = 120 Equation 2: x - y = 5

We can solve these equations simultaneously to find the values of x and y.

Solution

To solve the system of equations, 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 + 5

Substituting this value of x into Equation 1, we get: (y + 5) + y = 120 2y + 5 = 120 2y = 120 - 5 2y = 115 y = 115 / 2 y = 57.5

Now, substituting the value of y back into Equation 2, we can find x: x - 57.5 = 5 x = 5 + 57.5 x = 62.5

Therefore, the two numbers are x = 62.5 and y = 57.5.

Answer

The two numbers whose sum is 120 and whose difference is 5 are 62.5 and 57.5.