A list of 11 numbers has an average of 332. When two numbers are deleted from the list, the average of the remaining numbers is 308.
- What is the sum of 11 numbers?
- What is the bigger number between the two numbers that have been deleted given that the difference between the two numbers is 2?
(a)
Sum of the 11 numbers
= 11 x 332
= 3652
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 308 x 9
= 2772
Sum of the two numbers
= 3652 - 2772
= 880
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 880
2 u = 880 - 2
2 u = 878
1 u = 878 ÷ 2 = 439
Bigger number
= 1 u + 2
= 439 + 2
= 441
Answer(s): (a) 3652; (b) 441