In Karthik's opinion, his weight is greater than but less than . His father does not agree with Karthik, and he thinks that Karthik's weight is greater than but less than . His sister's view is that his weight cannot be greater than . If all are correct in their estimation, what is the average of the different possible weights of Karthik?
- A59
- B58
- C57
- D60
Solution & Step-by-step Explanation
Let be Karthik's weight in kg (assumed to be integer values).
* According to Karthik:
* According to his father:
* According to his sister:
Taking the intersection of all three conditions:
The possible integer values for are , , and .
The average of these possible weights is:
* According to Karthik:
* According to his father:
* According to his sister:
Taking the intersection of all three conditions:
The possible integer values for are , , and .
The average of these possible weights is: