Question

rs 7500 were divided among a certain no of children.Had been 20 less children each would have received rs 100 more find original no of children

Answer 1

(7500/x-20)- (7500/x) = 100
(7500x-7500x+150000)/x^2-20x.=100
150000/x^2-20x=100.
150000/100=x^2-20x
1500=x^2-20x
x^2-20x-1500=0.
(x-30)(x-50)=0
x=30 & x=50.