In arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does 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?
Answers
Here is the required answer
65+68/2
66.5 Ans
The average of different probable weights of Arun is 67 kg.
• According to Arun, his weight is more than 65 kg but less than 72 kg. Mathematically,
W > 65 kg, W < 72 kg
=> 65 kg < W < 72 kg
• According to Arun's brother, Arun's weight is greater than 60 kg but less than 70 kg.
Mathematically,
W > 60 kg, W < 70 kg
=> 60 kg < W < 70 kg
• Arun's mother is of the opinion that his age is not greater than 68 kg, means his weight is either less than or equal to 68 kg. Mathematically,
W < 68 kg
• Now, considering all the opinions to be true, it can been said that Arun could have minimum 66 kg of weight and maximum 68 kg of weight.
• Therefore, the probable weight of of Arun are : 66 kg, 67 kg, and 68 kg.
• The average of all the probable weights of Arun = (66 + 67 + 68) kg / 3 = 67 kg.