Question

The students of a class are made to stand in rows. If 3 students are extra in a row there would be 1 row less. If 3 students are less in a row there would be 2 rows more . Find the number of stundents in class

Answer 1

Let Row is 'X' and No. of students per row is 'Y'.

Acc. to question!

(X+3)*(Y-1)=(X-3)*(Y+2)

=>XY+3Y-X-3=XY-3Y+2X-6

=>6Y=3X-3

=>2Y=X-1____(1)

(X+3)*(Y-1)=XY

=>3Y-X=3

=>3Y=X+3____(2)

Solving 1 and 2,

Y=4 and X=9.

Hence

No of students is. 36