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
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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.
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