in a school ,the number of boys who play cricket is 3 times as much as a number of boys who play tennis. if 12 boys, who play cricket, play tennis instead, the number of boys who play each of these sports would be the same. find the number of boys who play tennis

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.