Question

1. The students of a class are made to stand in rows . if 3 students are extra in a 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

Answer:

36 students

Step-by-step explanation:

Let the number of rows be = x

Let the number of students in one row be = y

Total students of the class= Number of rows × Number of students in a row

Thus, the number of students = xy

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)

On adding equation (1) and (2), we will get -

y = 9

3x - 9 = 3x = 4

Number of students = xy = 4 × 9 = 36

Thus, there are 36 students in the class.