Question

A few number of students are made to stand in a certain number of rows equally. If 3 more students were kept in each row, there would be 2 rows less. If 3 less students were kept in each row, there would be 3 rows more. Find the number of students.​

Answer 1

Answer:

i don't know the answer sorry for that

Answer 2

all student of row be 180.

Step-by-step explanation:

here

there are x student of each row and there are y student row.

so, the number of students = xy........ (a)

According to the question

(x+3)(y-2) = xy

i.e xy - 2x + 3y - 6 = xy

2x - 3y + 6 = 0

x = (3y - 6 )\ 2 .............(1)

again,

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

xy +3x - 3y - 9 = xy

or, 3x - 3y - 9 =0 ........... (2)

equation (1) in (2) we get,

3(3y - 6) \2 - 3y - 9 =0

9y - 18 - 6y -18 = 0

3y = 36

y = 36\3 = 12

;. y = 12

the value of put in equation (2) we get.

3x - 3 x12 - 9 =0

3x = 36 + 9

or, x = 45\3

;, x =15

so, (x, y) = ( 15, 12)

now

the student of row = xy [ in equation (a) ]

then,

the student of all = 15x12 = 180

i.e all student of row be 180.