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 x and the number of rows be y ∴ Total number of students =x y ATQ,(x+3)(y-1)=x y ⇒ x-3 y+3=0 Also, (x-3)(y+2)=x y ⇒ 2 x-3 y-6=0 On solving these equations, we get x=9 and y=4 ∴ Number of students in the class =x y=9 × 4=36

CBSE 2025 · Region 3 · Set 3 · Q33 · 5 marks

The students of a class are made to stand equally in rows. If $\displaystyle 3$ students are extra in each row, there would be $\displaystyle 1$ row less. If $\displaystyle 3$ students are less in a row, there would be $\displaystyle 2$ more rows. Find the number of students in the class.

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The students of a class are made to stand equally in rows. If $\displaystyle 3$ students are extra in each row, there would be $\displaystyle 1$ row less. If $\displaystyle 3$ students are less in a row, there would be $\displaystyle 2$ more rows. Find the number of students in the class.

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