Question

The students present in an auditorium are asked to
stand in rows. If there were 4 students extra in a row
there would be 4 less rows. However, if 2 students
were less in a row, there would be 4 more rows. The
number of students present in the auditorium is​

Answer 1

Answer:

96 students are present in the auditorium.

Step-by-step explanation:

Let there are r rows and x students in each row.

∴(x+4)×(r−4)=x×r

=>x×r−4x+4r−16=x×r

=> -4x + 4r = 16 ...(i)

and (x−2)×(x+4)=x+r

=>x×r+4x−2r−8=x×r

=> 4x - 2r = 8 ...(ii)

Adding Eqs. (i) and (ii)

2r = 24

=> r = 12

∴from Eq. (ii) 4x - 24 = 8

=> 4x = 32

=> x = 8

∴ Total number of students present in the auditorium

=8×12=96

Answer 2

Answer:

96 is answer dear friend