The students of three sections of class have to stand in rows. Each row has equal numberofstudents. If there are 24,36, and 60 students in three sections, find the maximum number of students in each row. With workout and reason Answer 2min

Let the number of rows be x rows and the number of students in each row be y students .

Then the total number of students in a class =xy students.

∴ According to the question ,

(x−2)(y+1)=xy

⇒xy+x−2y−2=xy

x−2y=2⟶(i)

And

(x+3)(y−1)=xy

⇒xy−x+3y−3=xy

−x+3y=3⟶(ii)

x−2y=2

−x+3y=3

On adding , y=5 students.

putting the value of y in equation ⟶(i)

x−2(5)=2

x=12 rows.

∴ Total number of students in a classroom =(12×5)students =60 students.

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