A list of 14 numbers has an average of 336. When two numbers are deleted from the list, the average of the remaining numbers is 317.
- What is the sum of 14 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 14 numbers
= 14 x 336
= 4704
(b)
Remaining numbers
= 14 - 2
= 12
Sum of the remaining numbers
= 317 x 12
= 3804
Sum of the two numbers
= 4704 - 3804
= 900
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 900
2 u = 900 - 2
2 u = 898
1 u = 898 ÷ 2 = 449
Bigger number
= 1 u + 2
= 449 + 2
= 451
Answer(s): (a) 4704; (b) 451