Question

В баскетбольной команде 12 игроков. Их средний Возраст 27 лет. Зимой к команде присоединились еще 2 игрока, 1 старше другого на 4 года. Средний возраст команды стал 26 лет, сколько лет старшему игроку из двух новых?

Answer 1

1) 12*27 = 324 (года) - всего игрокам баскетбольной команды (в старом составе)

2) 14*26 = 364 (года) - всего игрокам баскетбольной команды (в новом составе)

3) 364-324 = 40 (лет) - вместе 2 новым игрокам

Соответственно, младшему игроку 18 лет, старшему 22.

Answer 2

Calculation of the Older Player's Age

To determine the age of the older player among the two new players, we can use the information provided in the question.

We know that the average age of the basketball team was 27 years before the two new players joined. After their inclusion, the average age dropped to 26 years.

Let's denote the age of the older player as x. Since the older player is 4 years older than the other player, we can represent the age of the younger player as x - 4.

To calculate the average age of the team after the two new players joined, we can use the following equation:

((12 * 27) + x + (x - 4)) / 14 = 26

Simplifying the equation, we get:

324 + 2x - 4 = 364

Combining like terms, we have:

2x = 364 - 324 + 4

Simplifying further, we get:

2x = 44

Dividing both sides of the equation by 2, we find:

x = 22

Therefore, the older player among the two new players is 22 years old.