Question

Всеш ВСЕРОССИЙСКАЯ ОЛИМПИАДА ШКОЛЬНИКОВ 2021/22 гг. ШКОЛЬНЫЙ ЭТАП МАТЕМАТИКА 5 КЛАСС Задания для обучаишихся Время выполнения заданий - 90 минут Максимальное количество баллов - 35 баллов Условия задач 1. В семье Веснушкины, три человека, и у каждого на лице в два раза больше веснушек, чем ему лет. Васе сейчас 11 лет. Васина мама младше Васиного палы на 3 года, и у неё на лице 66 веснушек. Сколько веснушек на лице у всех троих вместе? Ответ нужно подтвердить вычислениямии объяснениями ​

Answer 1

Ответ:

160 веснушек.

Пошаговое объяснение:

Мы знаем, что Васе 11 лет, а веснушек на лице вдвое больше. Значит, у него 22 веснушки (11 * 2). Теперь составим уравнение и узнаем, сколько веснушек у мамы и папы.

Пусть маме будет х лет. Тогда папе х+3 (потому что он на три года старше)

2х = 66.

х = 33.

Васиной маме 33 года.

А Васиному папе 36 лет (потому что 33 +3 = 36).

И так как веснушек всегда вдвое больше, чем лет, то на лице у папы 72 веснушки (ибо 36*2 = 72).

Теперь складываем все получившиеся веснушки.

22 + 66 + 72 = 88 + 72 = 160 (веснушек) - у всех троих вместе.

Ответ: 160 веснушек.

Answer 2

All-Russian School Olympiad 2021/22, Mathematics, 5th Grade

The All-Russian School Olympiad is a prestigious competition for school students in Russia. The mathematics section of the olympiad for 5th grade students consists of various tasks that test their mathematical skills and problem-solving abilities. The time allotted for completing the tasks is 90 minutes, and the maximum number of points that can be obtained is 35.

Now, let's solve the specific problem you mentioned.

Problem:

In the Vesnushkina family, there are three people, and each of them has twice as many freckles on their face as their age. Vasya is currently 11 years old. Vasya's mother is 3 years younger than Vasya's father, and she has 66 freckles on her face. How many freckles are there on the faces of all three family members together?

Solution:

To solve this problem, we need to calculate the number of freckles on the faces of each family member and then add them together.

Let's start with Vasya. According to the problem, each person has twice as many freckles on their face as their age. Since Vasya is 11 years old, he has 11 * 2 = 22 freckles.

Next, let's calculate the number of freckles on Vasya's mother's face. The problem states that she is 3 years younger than Vasya's father and has 66 freckles. Since Vasya's father is older than Vasya, we can calculate his age by adding 3 years to Vasya's age: 11 + 3 = 14 years. Therefore, Vasya's mother also has 14 * 2 = 28 freckles.

Finally, we can calculate the total number of freckles on the faces of all three family members by adding the number of freckles for each person: 22 (Vasya) + 28 (Vasya's mother) + 66 (Vasya's father) = 116 freckles.

So, there are a total of 116 freckles on the faces of all three family members together.

I hope this explanation helps! Let me know if you have any further questions.