stuedent of class are made to stand in row there would be 2 row less if 1 student is less in row there would be 3 rows more find the numbe of student in the class
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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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