Question

(11) 540 is distributed equally among some students. If there would have been 30
students more each would have received 3 less. Find the number of students.​

Answer 1

Answer:

Total oranges=540

Let the total number of students be xOrange each studnt gets=

x

540

If 30 more students are there so, the total number of students will be x+30

Number of oranges per person will be

x+30

540

if 30 students were more each would get 3 oranges less=

x

540

−3

⇒

x+30

540

=

x

540

−3

⇒540x=(540−3x)(x+30)

⇒3x

2

+90x−16200=0

⇒x

2

+30x−5400=0

⇒x

2

+90x−60−5400=0

⇒(x+90)(x−60)=0

∴x=−90,60

But number of students cannot be negative,so the number of students is 60