In X's opinion, his weight is greater than 60kg but less than 68kg. Y doesn't agree with him and says that X's weight is more than 62kg but less than 70kg. The mother of X believes that the weight of X is greater than 64kg but less than 68kg. If all of them are correct in their estimation, then what is the average of different probable weights of X if the weight is in integer?
- A68 kg
- B67 kg
- C66 kg
- D65 kg
Solution & Step-by-step Explanation
Let W be the integer weight of X. Let us determine the constraints given by each statement:
According to X: 60
According to Y: 62
According to X's mother: W>64
Since all of them are correct, we find the intersection of all three conditions:
max(60,62,64)64Since the weight W must be an integer, the probable integer values for W are:
65,66,67
The average of these probable weights is:
Average=
3
65+66+67
=
3
198
=66kg
According to X: 60
According to Y: 62
According to X's mother: W>64
Since all of them are correct, we find the intersection of all three conditions:
max(60,62,64)
65,66,67
The average of these probable weights is:
Average=
3
65+66+67
=
3
198
=66kg