Question

students of a class are made to stand on rows. if 1 student is extra in a row, there would be 2 rows less and if 1 student is less in a row there would be 3 rows more find the no of students in the class​

Answer 1

Answer:

60

Step-by-step explanation:

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=xyx−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)=2x=12 rows.

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