*6500 were divided equally among a certain number of persons. Had there been
15 more persons, each would have got 30 less. Find the original number of persons.
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4
Answer:
50
Step-by-step explanation:
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Step-by-step explanation:
=> suppose no. of person = x
=> each get = 6500/x
=> 15 are more = x+15
=> now each get = 6000/(x+15)
=> each get 30 less.
=> 6500/x - 6500/(x+15) = 30
=> (6500(x+15) - 6500*x)/(x²+15x) =30
=> ( 6500*15) = 30(x²+15x)
=> (650*5) = x²+15x
=> x²+15x - 3250 = 0
=> x² + 65x - 50x - 3250 = 0
=> (x+65)(x-50) = 0
=> x = -65,50
=> no of person can't be -ve.
so that x = 50
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