Question

Student of class are made to stand in rows if one student is extra in a row there would be 2 rows less if 1 student is less in a row there would be three row 4 find the number of the student in the class

Answer 1

Let the no. of student be 'x'

Let the no. of rows be 'y'

x*y=total no. of student

A.T.Q

(x+1)(y-2)=xy

xy-2x+y-2=xy

-2x+y=2..............(1)

(x-1)(y+3)=xy

xy+3x-y-3=xy

3x-y=3.................(2)

from (1) and (2)

-2x+y=2

3x-y=3

So,

x=5

put x in eq no. (1)

-2(5)+y=2

-10+y=2

y=12

Therefore, total no of student in class=xy

=5*12

=60