Question

Students of a class are made to stand in row. If 4 students are extra in a raw, there would by two rows less. If 4 students are less in a row, there would be four rows mor. Find the number of students in the class

Answer 1

Here is your answer.

The final answer for the question is 96 students.

Please refer the attachment for the steps.

Answer 2

Answer:

May it help you :-

Step-by-step explanation:

Let the number of  students in each row =x & the number of rows =y.

So, the number of students =xy.

Then, by the first condition,

(x+4)(y−2)=xy

⟹−2x+4y−8+xy=xy

⟹−2x+4y=8    .......(i)

Also by the second condition,

(x−4)(y+4)=xy

⟹4x−4y−16+xy=xy

⟹4x−4y=16     .......(ii)

(i)+(ii)⟶2x=24

⟹x=12

∴y=  

4

2x+8

​  

=  

2

x+4

​  

=  

2

12+4

​  

=8

So, the number of students is xy=12×8=96