The average of ten numbers is 35. If the smallest number is deleted from the list, the average of the remaining 9 numbers will be x and if the largest number is deleted, the average will be y. What is the average of the smallest and the largest numbers, if x + y = 20?
Explanation:
Sum of all 10 numbers (S) = 10 × 27 = 350
Let the smallest number be s and the largest number be L.
So, S - s = 9x ... (1)
Also, S - L = 9y ... (2)
Adding (1) and (2), we get
2S - (s + L) = 9(x + y) = 9(20) = 180
⇒ 2S - 180 = (s + L)
⇒ S - 90 = (s + L)/2
⇒ 350 - 90 = 260 = (s + L)/2 = Average of the smallest and the largest numbers
Hence, option (a).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.