Question

540 is distributed equally among some students if there would have been 30 students more it would have received three less find the number of students

Answer 1

Answer:

Total = 540

Initial student = x

Initial orange for 1 student = n

nx = 540

(n - 3)(x + 30) = 540

nx = (n - 3)(x + 30)

nx = nx + 30n - 3x - 90

30n = 3x + 90

x = over the pic 1

30n-903

x = 10n - 30

∵ nx = 540

n(10n - 30) = 540

n(n - 3) = 54

n2 - 3n - 54 = 0

n2 - 9n + 6n - 54 = 0

n(n - 9) + 6(n - 9) = 0

(n - 9)(n + 6) = 0

⇒ n - 9 = 0 or n + 6 = 0

⇒ n = 9 or n = - 6

But number of students cannot be negative.

∵ nx = 540 ⇒ x = over the pic 2

5409 ⇒ x = 60

∴ number of students = 60 students.