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

$\huge\mathcal{\underline{Solution:-}}$

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 .

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Answer 2

Answer:

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