Question

7. RS. 6500were divided equally among a certain number of students.
Had there been 15 more students, each would have got Rs.30 less.
Find the original number of students.​

Answer 1

Step-by-step explanation:

let the number of students =x

and equal amount distributed to them is = y

6500/x = y

xy= 6500

Now no.of students = x+15

and amount distributed to them become 30 less means it = y-30

since,now 6500/x+15 =y-30

6500=(x+15)(y-30)

6500=xy -30x +15y -450

6500= 6500 -30x +15y -450. xy =6500

15y-30x =450

y- 2x=30

y =2x+30

now xy=6500

x (2x+30)=6500

2x^2 + 30x =6500

x^2+15x =3250

x^2 +65x -50x -3250 =0

x(x+65) -50(x +65) =0

(x+65)(x-50)=0

x cannot be in negative

hence

x-50=0

x=50

original number of students =50