The students of a class are made to stand equally in rows. If 3 students are extra in each row, there would be 1 row less. If 3 students are less in…

Let number of students in each row be \(\displaystyle x\) and the number of rows be \(\displaystyle y\) ∴ Total number of students \(\displaystyle =x y \operatorname{ATQ},(x+3)(y-1)=x y \Rightarrow x-3 y+3=0\) Also, \(\displaystyle (x-3)(y+2)=x y \Rightarrow 2 x-3 y-6=0\) On solving these equations, we get \(\displaystyle x=9\) and \(\displaystyle y=4\) ∴ Number of students in the class \(\displaystyle =x y=9 \times 4=36\)