there are some benches in a class room. if 4 student sit on each bench then three benches are left unoccupied and if 3 student sit on each bench then three students are left standing. how many students are there is the class ?

48 students

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12students &9 benches

To find the number of students in the class, we can use the given information about the number of empty benches and the number of students left standing.

Let's consider the scenario where 4 students sit on each bench and three benches are left unoccupied:
- If there are x benches in the classroom, then the number of students in the class can be represented as 4x + 3 (since each bench has 4 students and there are three unoccupied benches).

Similarly, let's consider the scenario where 3 students sit on each bench and three students are left standing:
- In this case, the number of students in the class can be represented as 3x + 3 (since each bench has 3 students and there are three students left standing).

Since the number of students in the class is the same in both scenarios, we can set up an equation to solve for x:

4x + 3 = 3x + 3

By subtracting 3x from both sides of the equation, we get:

x + 3 = 3

Now, subtracting 3 from both sides of the equation:

x = 0

This means that there are no benches in the classroom (x = 0), which implies that there are no students in the class.

Therefore, based on the given information, the answer is that there are 0 students in the class.