Question

В одной группе 36 спортсменов а вдругой-40 их надо разбить на равные команды с наибольшим возможным числом человек в команде причём в одной команде могут быть спортсмены только из одной и тойже группы сколько команд получится

Answer 1

два этих числа могут делиться тоько на 4

тогда

36:4=9(ком.)-в первой группе

40:4=10(ком.)-во второй группе

9+10=19(ком.)-всего

ответ:19 команд. 

Answer 2

Problem Analysis

We have two groups of athletes, one with 36 athletes and the other with 40 athletes. We need to divide them into equal teams with the maximum possible number of athletes in each team. Additionally, each team can only consist of athletes from the same group. We need to determine how many teams we can form.

Solution

To find the maximum number of athletes in each team, we need to find the greatest common divisor (GCD) of the two group sizes. The GCD will represent the maximum number of athletes that can be in each team.

Let's calculate the GCD of 36 and 40 using the Euclidean algorithm:

1. Divide 40 by 36: 40 ÷ 36 = 1 remainder 4 2. Divide 36 by 4: 36 ÷ 4 = 9 remainder 0

Since the remainder is 0, the GCD of 36 and 40 is 4.

Now, we can divide each group into teams of 4 athletes.

For the first group with 36 athletes, we can form 9 teams (36 ÷ 4 = 9).

For the second group with 40 athletes, we can form 10 teams (40 ÷ 4 = 10).

Therefore, we can form a total of 19 teams.

Answer

We can form a total of 19 teams, with 9 teams from the group of 36 athletes and 10 teams from the group of 40 athletes. Each team will have 4 athletes.

Please let me know if you need any further assistance!