Question

Решить задачу уравнением второе число в 2 5 раза больше первого если к первому числу прибавить 2,6 а из второго вычесть 0,4 то полчается одинаковые результаты найти эти числа

Answer 1

Пусть х первое число, тогда втрое 2,5х.
х+2,6=2,5х-0,4
х-2,5=-0,4-2,6
-1,5х=-6,6
1,5х=6,6
х=4,4
1 число 4,4
2 число 11

Answer 2

Problem Analysis

We are given that the second number is 5 times larger than the first number. When we add 2.6 to the first number and subtract 0.4 from the second number, the results are equal. We need to find these two numbers.

Solution

Let's assume the first number is x. According to the problem, the second number is 5 times larger than the first number, so it can be represented as 5x.

When we add 2.6 to the first number, we get x + 2.6. When we subtract 0.4 from the second number, we get 5x - 0.4. According to the problem, these two expressions are equal.

So, we can set up the equation:

x + 2.6 = 5x - 0.4

Now, let's solve this equation to find the value of x.

Step 1: Move all the terms containing x to one side of the equation:

x - 5x = -0.4 - 2.6

Simplifying, we get:

-4x = -3

Step 2: Divide both sides of the equation by -4 to solve for x:

x = -3 / -4

Simplifying, we get:

x = 0.75

So, the first number is 0.75.

Now, let's find the second number. We know that the second number is 5 times larger than the first number, so:

Second number = 5 * First number

Substituting the value of the first number, we get:

Second number = 5 * 0.75

Simplifying, we get:

Second number = 3.75

Therefore, the two numbers are 0.75 and 3.75.

Answer

The first number is 0.75 and the second number is 3.75.