A list of 17 numbers has an average of 330. When two numbers are deleted from the list, the average of the remaining numbers is 323.
- What is the sum of 17 numbers?
- What is the bigger number between the two numbers that have been deleted given that the difference between the two numbers is 1?
(a)
Sum of the 17 numbers
= 17 x 330
= 5610
(b)
Remaining numbers
= 17 - 2
= 15
Sum of the remaining numbers
= 323 x 15
= 4845
Sum of the two numbers
= 5610 - 4845
= 765
Smaller number = 1 u
Bigger number = 1 u + 1
Total = 1 u + 1 u + 1 = 2 u + 1
2 u + 1 = 765
2 u = 765 - 1
2 u = 764
1 u = 764 ÷ 2 = 382
Bigger number
= 1 u + 1
= 382 + 1
= 383
Answer(s): (a) 5610; (b) 383