9. * 250 is divided equally among a certain
number of children. If there were 25 children
more, each would have received 50 paise less.
Find the number of children.
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Answer:
let the no. of students be x
no.of money each onewill get =250/x
new no. of students= x+25no. of money each one will get=250/x+25
by condition
250/x -250/x+25=0.5
250(x+25)-250x/x²+25x=5/10
250x+6250-250x/x²+25x=5/10
6250×10=5×x²+25x
12500=x²+25x
x²+25x-12500=0
(x+125)(x-100)=0
x=-125 or x=100
As no. of students can not be negative
discarding x = -125
therefore no. of students are 100
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