Question

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.

Answer 1

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.