Question

The students of a class are made to stand in rows. If one student is extra in a

row, there would be two rows less. If one student is less in a row there would be

three rows more. Find the number of students in the class.

Answer 1

Answer:

Step-by-step explanation:

let rows be x and students be y

therefore total number of students = xy

now, ATQ

(x-2)(y+1) = xy

xy + x - 2y - 2 = xy

x-2y = 2. (1)

2nd case:

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

3y - x=3. (2)

solving equation 1 and 2 simultaneously we get ,

x = 10 and y = 5