Rs 1000 was distributed among a certain people if there were 5 people more each would get Rs 10 less . Among how many people was the amount distributed
Answers
Answered by
72
Step-by-step explanation:
Let the original no. of persons be x, then
1000 divided equally between x persons, each one get ------> 1000/x
1000 divided equally between (x + 5) persons, each one get------> 1000/(x + 5)
According to the que,
1000/(x + 5) = 1000/x - 10
1000x=(x+5)(1000-10x)
=1000x-10x²+5000-50x
10x²+50x-5000=0
x²+5x-500=0
x²+25x-20x-500=0
x(x+25)-20(x+25)=0
x+25)(x-20)=0
x=-25 or 20
no of person not negative so answer 20
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Answered by
23
Answer:
Step-by-step explanation:
Let the original no. of persons be x, then
1000 divided equally between x persons, each one get ------> 1000/x
1000 divided equally between (x + 5) persons, each one get------> 1000/(x + 5)
According to the que,
1000/(x + 5) = 1000/x - 10
1000x=(x+5)(1000-10x)
=1000x-10x²+5000-50x
10x²+50x-5000=0
x²+5x-500=0
x²+25x-20x-500=0
x(x+25)-20(x+25)=0
x+25)(x-20)=0
x=-25 or 20
Therefore the total number of people is 20.
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