Question

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

Answer:

The No. of students = x

Share = 6500/X

when there is 15 student excess

share =6500/x +15

6500/x-6500/X+15=30

65oo (x+15)-65oox=30xXx(x +15)

65oox+97500-65oox=3ox^2+450x

97500 = 30 x^2+450x

3ox^2+450x-975oo=O

divide by 30

x^2+15x-3250 = 0

factorise:

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

x=50

original No. of students=50