There are some benches in a class room if 4 students sit on each bench then 3 benches are left un-occupied However if 3 students sit on each bech 3 students are left standing How many students are there in the class?

Question

Q. There are some benches in a class room. If 4 students sit on each bench, then 3 benches are left unoccupied. However, if 3 students sit on each bench,3 students are left standing. How many students are there in the class?

Answer 1

Let there be x student in the class.
When 4 students sit on each bench number of
benches

=x4+3=x4+3
When 3 students sit on each bench number of
benches

=x−33=x−33

⇒x4+3=x−33⇒x4+3=x−33

⇒3x+36=4x−12orx=48⇒3x+36=4x−12orx=48

There are some benches in a class room if 4 students sit on each bench then 3 benches are left un-occupied However if 3 students sit on each bech 3 students are left standing How many students are there in the class?

The correct option is B 48Let there be x student in the class.When 4 students sit on each bench number of benches=x4+3=x4+3When 3 students sit on each bench number of benches =x−33=x−33⇒x4+3=x−33⇒x4+3=x−33⇒3x+36=4x−12orx=48⇒3x+36=4x−12orx=48

The correct option is B 48
Let there be x student in the class.
When 4 students sit on each bench number of
benches=x4+3
When 3 students sit on each bench number of
benches =x−33
⇒x4+3=x−33
⇒3x+36=4x−12orx=48