Question

The average score of 11 matches is 50. If the
average score of first 6 matches is 49 and that of
last 6 is 52, find the sixth match score?
1. 42
2. 58
3. 56
4. 52
5. 45

Answer 1

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