Question
If the average of 13 different numbers is 15, and if all
the numbers are positive integers then what is the largest possible value of the average of the 2 biggest numbers?Solution
Sum of these 13 integers = 15 × 13 = 195 Maximum average of the largest two numbers would occur when the two smaller numbers are as small as possible (i.e. when they are 1 and 2 respectively). Maximum Average = [195 - (1+2)]/ 2 = 192/2 = 96
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