Question

the students of class were made to stand in rows. of three students are extra in row there would be one row less if the three students are less in row there would be 2 rows . find the number of students in the class​

Answer 1

Answer:

Let the number of rows be x

Number of students in 1 row = y

According to the question,

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

Or 3x - y = 3 ...(1)

(y - 3) (x + 2) = xy  xy - 3x + 2y - 6 = xy

Or -3x + 2y = 6 ...(2)

Adding (1) and (2), we get,

y = 9

3x - 9 = 3  x = 4

Number of students = xy = 4  9 = 36

Hope it helps you