Question

Аня, Таня и Ваня собирали марки о космосе. У Ани и Тани вместе 45 марок о космосе, У Тани и Вани 55 марок. Могли ли собрать вместе Аня и Ваня 75 марок о космосе?

Answer 1

1) 55-45=10(м)-у Тани

2) 55-10=45(м)-у Вани

3) 45-10=35(м)-у Ани

4) 45+35=80(м)-у Ани и Вани вместе

Ответ: Аня и Ваня собрали 80 марок!

Answer 2

У Ани 25,у Тани 25,у Вани 50.

Тогда у Ани и Вани 75 марок о космосе.

 

 

 

 

 

 

Answer 3

Problem Analysis

Аня, Таня, and Ваня are collecting stamps about space. Аня and Таня together have 45 space stamps, and Таня and Ваня have 55 space stamps. The question is whether Аня and Ваня could have collected a total of 75 space stamps together.

Solution

To solve this problem, we can use a system of equations. Let's assume that Аня has x space stamps, Таня has y space stamps, and Ваня has z space stamps.

From the given information, we can write the following equations: 1. Аня + Таня = 45 2. Таня + Ваня = 55

We need to determine if Аня + Ваня = 75.

Let's solve the system of equations to find the values of x, y, and z.

Solution Details

To solve the system of equations, we can use substitution or elimination method. Let's use the elimination method.

From equation 1, we can rewrite it as Аня = 45 - Таня.

Substituting this value of Аня in equation 2, we get: (45 - Таня) + Таня + Ваня = 55 45 + Ваня = 55 Ваня = 55 - 45 Ваня = 10

Now, substituting the value of Ваня in equation 2, we get: Таня + 10 = 55 Таня = 55 - 10 Таня = 45

Finally, substituting the values of Таня and Ваня in equation 1, we get: Аня + 45 = 45 Аня = 0

Now, we can calculate Аня + Ваня: Аня + Ваня = 0 + 10 = 10

Therefore, Аня and Ваня could not have collected a total of 75 space stamps together.

Answer

Аня and Ваня could not have collected a total of 75 space stamps together. They could only collect a total of 10 space stamps together.

Note: The solution assumes that each person can only have whole numbers of stamps.