Bunuel wrote:
If the average of four distinct positive integers is 60, how many integers of these four are less than 50?
(1) The median of the three largest integers is 51 and the sum of two largest integers is 190.
(2) The median of the four integers is 50.
M08-28
Key word:
four distinct positive integersFrom 1
When median of 3 largest numbers is 51, this means that the series is
x y 51 139
The sum of all 4 numbers will be 240, Now when we subtract 190, will give value as 50
so we get 2 numbers less than 50
From 2, lets look at our key word
since 50 is the median this means, center term, when n is even, median = (2nd term + 3rd term)/ 2
so if median has to be 50, which we can get in many ways such as, 15+85, 45+55
So in all those cases we will get two values, Sufficient
D
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.
Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.