iyersu wrote:
The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?
A. 55
B. 65
C. 100
D. 109
E. 115
The sum of 4 integers is 4*50 = 200.
The sum of 2 integers is 2*45 = 90.
Thus, the sum of the other 2 integers is 200 - 90 = 110.
Since we know that the integers are positive then the greatest one from these two can be 109, the other one being 1.Answer: D.
Hope it's clear.
Sorry I do not understand why sum of two remaining integers = 110 becomes 109?