The avg earning of a group of persons is Rs.50 per day. The difference between the highest earning and lowest earning of any two persons of the group is Rs. 45. If these two people are excluded the avg earning of the group decreses by Rs 1. If the minimum earning of the person in the group lies between 42 and 47 and the no.of persons initially in the group was equal to a prime number , with both its digit prime. The no.of persons in the group initially was :

  

The  avg earning of a group of persons is Rs.50 per day. The difference between the highest earning and lowest earning of any two persons of the group is Rs. 45. If these two people are excluded the avg earning of the group decreases by Rs 1. If the minimum earning of the person in the group lies between 42 and 47 and the no.of persons initially in the group was equal to a prime number , with both its digit prime. The no.of persons in the group initially was :  

 

 Ans

50x-(x-2)49=H+L
x+98=H+L
Given H-L=45. L lies bw 42-47 and x is prime no. Hence only satisfying value of L is 45. Which gives x=37

 

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