Question

students of a class are made to stand cin
rows. If on student is extra in a row,
there would be a rows less. If one student
is less in you, there would be 3 rows more
find the total number of students in class​

Answer 1

Answer: Total students in the class is 60 students

Step-by-step explanation

Let the students in each row = x

Let total rows = y

Total students in the class = (Students in each row)x(Total rows)

Total students in class  = xy

Case 1

  xy =  (x+1)(y-2)

  xy = xy -2x +y -2

  2   = -2x + y ----(1)

Case 2

xy = (x-1)(y+3)

xy = xy +3x -y -3

3 = 3x -y ---(2)

-2x +y   = 2 --(1)

+3x -y =   3 --(2)

--------------------------

-     -      -

-----------------

    x      = 5

Substituting x = 5 in Eq 1

-2x + y = 2

-2(5) + y = 2

 -10  + y  = 2

         y    =  2 +10

         y      =   12

Therefore, Total number of students in the class = xy  = (5)x(12) = 60 students

Hope this helps you!!

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