Question

Помогите пожалуйста Второе число 2,5 раза больше первого если к первому числу прибавить (-3,8) а из второго отнять 8,3 то получиться одинаковые результаты . Найдите эти числа . Спасибо заранее

Answer 1

Ответ: Первое число - 3, второе число - 7,5

Объяснение:

Пусть, x - меньшее число, тогда, 2,5x - большее число, получаем уравнение:

x + (-3,8) = 2,5x - 8,3

2,5x - x = 8,3 - 3,8

1,5x = 4,5

x = 4,5/1,5

x = 3

Меньшее число = x = 3, большее число = 2,5x = 7,5

Answer 2

Problem Analysis

We are given that the second number is 2.5 times larger than the first number. If we add -3.8 to the first number and subtract 8.3 from the second number, the results will be the same. We need to find these two numbers.

Solution

Let's assume the first number is x. According to the given information, the second number is 2.5 times larger than the first number, so the second number can be represented as 2.5x.

If we add -3.8 to the first number and subtract 8.3 from the second number, the results will be the same. Mathematically, we can represent this as:

x - 3.8 = 2.5x - 8.3

To find the values of x and the second number, we can solve this equation.

Solving the Equation

Let's solve the equation step by step:

x - 3.8 = 2.5x - 8.3

First, let's simplify the equation by combining like terms:

-3.8 + 8.3 = 2.5x - x

Simplifying further:

4.5 = 1.5x

Now, let's isolate x by dividing both sides of the equation by 1.5:

x = 4.5 / 1.5

Simplifying:

x = 3

So, the first number (x) is 3.

To find the second number, we can substitute the value of x into the equation:

2.5x = 2.5 * 3 = 7.5

Therefore, the second number is 7.5.

Answer

The first number is 3 and the second number is 7.5.

Please let me know if you need any further assistance.