Question

FFFAAAASSSTTT!!!!


Class X students assembled for a meeting were made to stand in rows. If 4 students were less in a row, there would be 3 more rows. Whereas if 8 students were more in a row, there would be 3 less rows. Find the number of students in the class

Answer 1

let srudent in a row = x
no. of rows = y

total student = xy

A.T.Q

( x- 4 ) ( y + 3 ) = xy
xy + 3x - 4y - 12 = xy
3x - 4y = 12 ... ( i )

( x + 8 ) ( y - 3 ) = xy
xy - 3x + 8y - 24 = xy
-3x + 8y = 24 .. ( ii )

solving i and ii

3x - 4y = 12
-3x + 8y = 24


we get


y = 9 and x = 16

students = xy = 9 × 16 = 144

Answer 2

Let x be a number of students in a row and y be a number of students in a column. Then the amount of kids is xy.

(x+4)(y-2)=(x-4)(y+4)=xy

xy+4y-2x-8=xy-4y+4x-16=xy

4y-2x-8= -4y+4x-16=0 add two first equations.

2x-24=0

x=12

4y-24-8=0

4y=32

y=8

xy=12*8=96