Question

13 Several teams take part in a competition, each
of which must play one game with all the other
teams. How many teams took part in the
competition if they played 45 games in all ?
(MAT-2014)​

Answer 1

Answer:

26 teams

because 13 team play with another 13 in all of 45 teams

Answer 2

Answer:

The number of teams participated is 10

Step-by-step explanation:

Step 1: Given Data: 45 games played in all competition

To calculate the number of teams participated

Step 2:

Let the total number of teams=n

Step 3:

n(n-1)/2=Total  (Total number competition is 45)

n(n-1)/2=45

n2-n-90=0  (using quadratic equation calculate the value of n)-------(1)

Step 4:

on equation(1) by solving we get  

n=10

The value of n is 10

Step 5:

The number of teams participated is 10