Question

- 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:

Please refer to the attachment

Hope it Helps!!!

Answer 2

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The number of students in the class = 36.

Given:

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

Need To Find:

The number of students in the class = ?

ExPlanation:

Let the number of rows be x.

Number of students in 1 row = y

According to the given 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

ThereFore:

➠ 3x - 9 = 3

➠ x = 4

ThereFore:

Number of students = xy = 4 × 9 = 36.

Hence, the number of students is 36.