Rs.6500 is divided equally among a certain number of persons .Had there been 15 more person each would have got rs.30 less . Find the orignal number of person
Answers
Let the original number of persons be x.
Let the original number of persons be x. Then the amount received by each person = Rs.
When 15 more persons are added, amount received by each person = Rs.
A/C,
Here, a = 1, b = 15 and c = -3250
So, the real roots exist. Using the quadratic formula,
As the number of persons cannot be negative, x ≠ -65, x = 50
As the number of persons cannot be negative, x ≠ -65, x = 50Hence, the original number of persons = 50
Answer:
Step-by-step explanation:
Let assume that the number of persons be x.
Case :- 1
Amount to be distributed = Rs 6500
Number of persons = x
So, Each person share is
Case :- 2
Amount to be distributed = Rs 6500
Number of persons = x + 15
So, Each person share is
According to statement, it is given that had there been 15 persons more, each would get Rs 30 less.
Hence,
Nature of roots :-
Let us consider a quadratic equation ax² + bx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.
Three cases arises :
If Discriminant, D > 0, then roots of the equation are real and unequal.
If Discriminant, D = 0, then roots of the equation are real and equal.
If Discriminant, D < 0, then roots of the equation are unreal or complex or imaginary.
Where,
Discriminant, D = b² - 4ac