Question

The student of a class are made to stand in rows. If 3 students are extra in row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class ?

Answer 1

Let the number of students in class be x and the numbers of rows be y

Total student = xy

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

xy + 3y - x – 3 = xy

-x + 3y - 3 = 0 ......... (Eqn 1)

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

xy - 3y + 2x - 6 = 0

-2x + 6y - 6 = 0

3y - 12 = 0

y = 4

Substitute value of y in (Eqn 1)

-x + 12 - 3 = 0

x = 9

Total students = xy

9 × 4

Total students in the class

= 36