A list of 11 numbers has an average of 335. When two numbers are deleted from the list, the average of the remaining numbers is 309.
- 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 6?
(a)
Sum of the 11 numbers
= 11 x 335
= 3685
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 309 x 9
= 2781
Sum of the two numbers
= 3685 - 2781
= 904
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 904
2 u = 904 - 6
2 u = 898
1 u = 898 ÷ 2 = 449
Bigger number
= 1 u + 6
= 449 + 6
= 455
Answer(s): (a) 3685; (b) 455