The average of 11 numbers is 50.
The average of 11 numbers is 50. If the average of first 6 numbers is 49 and that of last 6 is 52.Find the 6th number.
Answer/Solution
56
Steps/Work
avg = 50 so total sum of 11 numbers = 550
let 6th number is x, so according to the given condition
sum of first 5 numbers = 49*6 - x = 294 - x
sum of last 5 numbers = 52*6 - x = 312 - x
so 6th number x = 550 - (294 - x) - (312 - x) = 2x - 56
so x = 2x - 56 implies x = 56
ANSWER:C
let 6th number is x, so according to the given condition
sum of first 5 numbers = 49*6 - x = 294 - x
sum of last 5 numbers = 52*6 - x = 312 - x
so 6th number x = 550 - (294 - x) - (312 - x) = 2x - 56
so x = 2x - 56 implies x = 56
ANSWER:C