Question

In a school the number of boys who play cricket is 3 times as much as the number of boys who play tennis.If 12 boys,who play cricket,play tenni instead the numbet of boys eho play eachof these sports would the. same find the number of bous who play tennis​

Answer 1

Answer:

The number of boys who play badminton is 12.

Explanation:

Let x =Number of boys who play soccer

y= Number of boys who play badminton.

According to the question , we have :

In a school the number of boys who play soccer is 3 times as much as the number of boys who play badminton.

x=3yx=3y (1)

If 12 boys who play soccer play badminton instead,the number of boys who play each of these sports would be the same.

i.e. x-12=y+12x−12=y+12

\Rightarrow\ x=y+24⇒ x=y+24

\Rightarrow\ 3y=y+24⇒ 3y=y+24 [From (1)]

\Rightarrow\ 2y=24⇒ 2y=24

\Rightarrow\ y=12⇒ y=12

Hence, the number of boys who play badminton is 12.

Step-by-step explanation:

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Answer 2

Answer:

36

Step-by-step explanation:

let no. of tennis players be x

then,cricket boys be 3x

ATQ,

cricket boys=3x12

=36