Average of three positive numbers is 25. Out of these three numbers, the average of two numbers is 11. Which is the largest number?

**(A)** 63

**(B)** 57

**(C)** 53

**(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

**(1)**

## It is also given to us that

** (2)**

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)**.