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).
Leave a Reply