Question

Students of a class are preparing for a drill and are made to stands in a row. If 4 students are extra in a row, then there would be 2 rows less. But there would be 4 more rows if 4 students are less in a row. The number of students in the class is

Answer 1

If no of students =x

if no of rows=y

and from given:

total student=xy

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

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

Solving the above

X=12

Y=8

Hence total number of students=12x8=96

the answer is 96

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Answer 2

Step-by-step explanation:

Let the number of students in a row, be x and the total number of rows be y. Then,

Total number of students in the class = xy

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

xy - 2x + 4y - 8 = xy

=> 2x - 4y = -8

=> x - 2y = -4

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

xy + 4x - 4y - 16 = xy

=> 4x - 4y = 16

=> x - y =4

Subtracting (i) from (ii) we get y = 8

Putting y = 8 in (ii), we get x = 12

Hence, total number of students in the class = xy = (12 * 8) = 96