While arranging the students of standard X in | vedclass

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Question

(B) Let the number of rows be $x$ and the number of students in each row be $y$. The total number of students is $xy$.According to the first condition

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(B) Let the number of rows be $x$ and the number of students in each row be $y$. The total number of students is $xy$.According to the first condition: $(x - 2)(y + 1) = xy$$xy + x - 2y - 2 = xy$$x - 2y = 2$  --- $(1)$According to the second condition: $(x + 3)(y - 1) = xy$$xy - x + 3y - 3 = xy$$-x + 3y = 3$  --- $(2)$Adding equations $(1)$ and $(2)$:$(x - 2y) + (-x + 3y) = 2 + 3$$y = 5$Substituting $y = 5$ in equation $(1)$:$x - 2(5) = 2$$x - 10 = 2$$x = 12$Total number of students $= xy = 12 	imes 5 = 60$.

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