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.
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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
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