Question

students of a class are made to stand in rows . if a student is extra in a row there would be 2 less. if one student is less in a row there would be 3rows more find the number of students in class

Answer 1

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$<b>Que):- students of a class are made to stand in rows . if a student is extra in a row there would be 2 less. if one student is less in a row there would be 3rows more find the number of students in class</b>$

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$\huge\sf{\blue{\star{\underline{Answer}}\star}}$

$<i>$Let number of rows is x and number of students is y in a row.

Then total number of students = xy

A/C to question,

$\bf\:(x - 2)(y + 1) = xy$

⇒xy + x - 2y - 2 = xy

⇒x - 2y = 2 -------(1)

Again, (x + 3)(y - 1) = xy

⇒xy - x + 3y - 3= xy

⇒ -x + 3y = 3 -------(2)

Solve equations (1) and (2),

⏩ ${\bold{\large{\boxed{\green{y = 5}}}}}$

and put it equation (1)

⏩ ${\bold{\large{\boxed{\blue{x = 12}}}}}$

$<b>Hence, total number of students = xy = 12 × 5 = 60</b>$

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