Question

Средний возраст одиннадцати игроков футбольной команды 21 год. Во время матча один из игроков получил травму и ушёл с поля. Средний возраст оставшихся игроков оказался равным 20 4/5 года. Сколько лет игроку , получившему травму?

Answer 1

1) Для нахождения среднего возраста необходимо сложить возраста каждого игрока и разделить на их кол-во.
Пусть x - сумма возростов всех игроков
x/11=21 ; x=21*11=231
2) Средний возраст десяти игроков:
Сумму возрастов 10 игроков обозначим за y
20 4/5 года переведем в десятичную дробь = 20,8
y/10=20,8 ; y=20,8*10=208
3) Из суммы возрастов 11 игроков вычтем сумму возрастов 10 участников, и получим возраст ушедшего игрока
231-208=23

Answer 2

Calculation of the Player's Age

To calculate the age of the player who got injured, we can use the information provided.

The average age of the eleven players in the football team is 21 years. During the match, one player got injured and left the field. The average age of the remaining players was 20 4/5 years.

Let's denote the age of the injured player as x.

To find the age of the injured player, we can set up an equation using the average age information:

(11 * 21 - x) / 10 = 20 4/5

Simplifying the equation:

231 - x = 208/5

Multiplying both sides by 5 to eliminate the fraction:

5 * (231 - x) = 208

1155 - 5x = 208

Rearranging the equation:

5x = 1155 - 208

5x = 947

Dividing both sides by 5:

x = 947 / 5

x ≈ 189.4

Therefore, the age of the player who got injured is approximately 189.4 years.

Please note that this calculation assumes that the average age is calculated by summing the ages of all the players and dividing by the number of players. It's also important to consider that the given ages are in years and not months or any other unit of time.