Question

загальна довжина двох відрізків становить 18см.якщо перший відрізок збільшити на 5 см,а другий зменшити на 3см,то відрізки стануть однаковими.який завдовжки кожний відрізок?

Answer 1

5-3=2 (разница между отрезками)

18-2=16 см

16:2=8 см

8+5=13 см (первый отрезок)

8-3 = 5 см(второй отрезок)

13+5=18, значит решение верно

Answer 2

Problem Analysis

We are given two line segments with a total length of 18 cm. If we increase the length of the first segment by 5 cm and decrease the length of the second segment by 3 cm, the two segments will become equal in length. We need to find the lengths of each segment.

Solution

Let's assume the length of the first segment is x cm. Therefore, the length of the second segment will be (18 - x) cm.

According to the given condition, if we increase the length of the first segment by 5 cm, it will become (x + 5) cm. Similarly, if we decrease the length of the second segment by 3 cm, it will become ((18 - x) - 3) cm.

According to the problem, the two segments will become equal in length. Therefore, we can set up the following equation:

(x + 5) = ((18 - x) - 3)

Now, let's solve this equation to find the lengths of each segment.

(x + 5) = ((18 - x) - 3)

Simplifying the equation:

x + 5 = 18 - x - 3

Combining like terms:

2x + 5 = 15

Subtracting 5 from both sides:

2x = 10

Dividing both sides by 2:

x = 5

Therefore, the length of the first segment is 5 cm.

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

(18 - x) = (18 - 5) = 13

Therefore, the length of the second segment is 13 cm.

Answer

The length of the first segment is 5 cm, and the length of the second segment is 13 cm.