Question

Задача. 48 открыток расклеили в 3 альбома и казалось, что в первом и третьем одинаковое количество открыток. Сколько открыток во втором альбоме, если в первом и втором вместе 29 открыток? Вопрос: Сколько вариантов решения этой задачи может быть?

Answer 1

Первый вариант  решения:
В 1-ом альбоме х открыток
во 2-ом альбоме (29 -х) открыток
в 3-ем альбоме  х открыток
Составим уравнение:
х + 29 - х + х = 48
х = 48 - 29
х = 19
29 - х = 29 - 19 = 10
Ответ: 10открыток во 2-ом альбоме.
Второй вариант решения:
1) 48 - 29 = 19(открыток) в 3-ем альбоме
2) 19 + 19 = 38(открыток) в 1-ом и 3-ем альбомах
3) 48 - 38 = 10(открыток)
Ответ: 10 открыток во 2-ом альбоме.
 

Answer 2

Problem Analysis

We are given that 48 postcards were divided into 3 albums, and it seemed that the first and third albums had the same number of postcards. We also know that the first and second albums together contain 29 postcards. We need to determine how many postcards are in the second album and how many possible solutions exist for this problem.

Solution

Let's assume that the number of postcards in the first and third albums is x. Since the first and second albums together contain 29 postcards, we can write the equation:

x + (x + 29) = 48

Simplifying the equation, we get:

2x + 29 = 48

Subtracting 29 from both sides, we have:

2x = 19

Dividing both sides by 2, we find:

x = 9.5

Since the number of postcards must be a whole number, we can conclude that there is no solution to this problem. Therefore, there are no possible solutions for the number of postcards in the second album.

Answer

There are no possible solutions for the number of postcards in the second album.

Verification

To verify this result, we can substitute the value of x into the equation and check if it satisfies the conditions of the problem. Plugging in x = 9.5, we have:

9.5 + (9.5 + 29) = 48

This simplifies to:

9.5 + 38.5 = 48

Which is true. However, since the number of postcards must be a whole number, we cannot have 9.5 postcards in an album. Therefore, there are no possible solutions for the number of postcards in the second album.