the number of boys to girls in a school is in the ratio 12:13 .if difference hetween no.of boys and girls is 56 how many boys are there in the school

The difference is 56. So 12*56=boys

13*56=girls
difference=girls-boys=56(13-12)

To find the number of boys in the school, we need to solve the following problem step by step:

Step 1: Set up the ratio equation using the given information. The ratio of boys to girls is 12:13. This means that for every 12 boys, there are 13 girls.

Step 2: Let's assume the number of boys in the school is 12x, where x is a constant. From the ratio equation, the number of girls will be 13x.

Step 3: According to the problem, the difference between the number of boys and girls is 56. So, we can write an equation based on that:

Number of boys - Number of girls = 56
12x - 13x = 56

Step 4: Solve the equation to find the value of x:

12x - 13x = 56
-x = 56
x = -56

Step 5: We have found the value of x as -56. But we can't have a negative number of boys, so we made a mistake somewhere. Let's go back to step 2 and assume the number of boys in the school is 13x instead of 12x.

Assuming the number of boys is 13x:

Step 2: Let's assume the number of boys in the school is 13x, where x is a constant. From the ratio equation, the number of girls will be 13x.

Step 3: According to the problem, the difference between the number of boys and girls is 56. So, we can write an equation based on that:

Number of boys - Number of girls = 56
13x - 13x = 56

Step 4: Solve the equation to find the value of x:

0 = 56

This is not possible as it leads to an inconsistent equation. This means there is no valid solution to the problem.

Therefore, based on the given information, we cannot determine the number of boys in the school.