Question

In a class 9A number of boys is 5 more than number of girls and 3 times of number of girls is 12 more than double the number of boys. find the number of boys and girls​

Answer 1

Answer:

Number of Girls = 22

Number of Boys = 27

Step-by-step explanation:

Let the number of Girls be x

then the number of Boys will be (x + 5)

According to the Question,

3 × x = 2 × (x + 5) + 12

3x = 2(x + 5) + 12

3x = 2x + 10 + 12

3x - 2x = 22

x = 22

Thus,

Number of Girls = 22

Number of Boys = 22 + 5 = 27

We can check if this is true,

3(22) = 2(27) + 12

66 = 54 + 12

66 = 66

Thus, LHS = RHS

So, it is correct

Hope it helped and you understood it........All the best

Answer 2

Answer:

B=27 G=22

Step-by-step explanation:

B=G+5          =======>    2B-2G=10

3G=2B+12       =======>   -2B+3G=12

                                                    G=22

B=G+5

B=22+5     ===> 27