Question

The students of a class are made to stand in a row. If 4 students are more in each row the number of rows are reduced to 2 and if 4 students are less in each row the number of rows increases by 4. Find the number of students​

Answer 1

Answer:

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

Also by the second condition,

(x−4)(y+4)=xy

4x−4y−16+xy=xy

4x−4y=16

(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