Question

In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

Answer 1

# According to Arun's opinion, Arun's weight, W
Let Arun's age be W

72>W>65

So the probable weight is :  66,67,68,69,70,71

# According to Arun's Bro assumption:

70>W>60

So the probable weight is : 61,62,63,64,65,66,67,68,69
Since all the assumption are correct, Arun's age cannot be less that 65

So the probable weight is : 66,67,68,69

# According to Arun's mom's assumption:

68≥W>0

Probable weight: 0,1,2.....68

From the above assumption, weight cannot be less than or equal 65, and more than 68

So the probable ages are: 65,66.67,68

Now,
 
Average= Sum of observation/ Total number of observation

Average age= 65+66+67+68/4 = 266/4 =66.5