Average of three positive numbers is 25. Out of these three numbers, the average of two numbers is 11. Which is the largest number?
(D) Data is not sufficient to find the largest number
(E) None of the above
Let three positive numbers be and .
It is given to us that
It is also given to us that
Putting equation (2) in equation (1), we get
We know that all three numbers are positive and . Hence, and cannot be greater than 22.
Therefore, largest number is which is 53.
Hence, the answer is (C).