Question

на двух тарелках было 13 яблок. когда с одной тарелки взяли 2 яблока, а на другую добавили 3 яблока, на тарелках стало поровну. сколько яблок было на каждой тарелки сначала?

Answer 1

Если на первой тарелке было х яблок,
тогда на второй тарелке было (13-х) яблок
стало: х - 2 = 13-х + 3
2х = 18
х = 9
ПРОВЕРКА: 9 - 2 = 7
13-9 = 4
4 + 3 = 7

Answer 2

Problem Analysis

We are given that there were 13 apples on two plates. When 2 apples were taken from one plate and 3 apples were added to the other plate, the number of apples became equal on both plates. We need to determine the initial number of apples on each plate.

Solution

Let's assume the number of apples on the first plate initially is x, and the number of apples on the second plate initially is y.

According to the given information, we have the following equations: 1. x + y = 13 (equation 1) 2. (x - 2) + 3 = (y + 2) - 3 (equation 2)

Simplifying equation 2, we get: x + 1 = y - 1 x = y - 2 (equation 3)

Substituting equation 3 into equation 1, we get: y - 2 + y = 13 2y - 2 = 13 2y = 15 y = 7.5

Since the number of apples cannot be a decimal, we can conclude that there is no solution to this problem. The initial number of apples on each plate cannot be determined.

Answer

There is no solution to this problem. The initial number of apples on each plate cannot be determined.