Question

24 The students of a class are made to stand in (complete) rows. If one student is extrą;
in a row, there would be 2 rows less, and if one student is less in a row, there would
be 3 rows more. Find the number of students in the class.
ld and 12-carat gold. How much of each must be
10​

Answer 1

Answer:

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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Step-by-step explanation: