There are certain number of balls in a box. Balls are divided such that one person gets 1/4th of the balls. This person got thrice of the average of the number of balls that rest of the people got. Find the total number of persons.
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Given: Balls are divided such that one person gets 1/4th of the balls
To find: The total number of persons.
Solution:
- Lets consider the number of balls to be x.
- Also lets consider, n to be number of person.
- So, according to the question, balls are divided such that one person gets 1/4th of the balls, it means equation will be:
= (1/4) x
- Also it says that this person got thrice of the average of the number of balls that rest of the people got, which means the equation would be:
= 3((3/4)x
- Now equating, we get:
(1/4) x = [3 x (3/4)x] / n-1
- Solving the equation, we get:
x/4 = 9x/4(n-1)
n-1 = 9
n=10.
Answer:
The total number of persons are 10.
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