A list of 11 numbers has an average of 330. When two numbers are deleted from the list, the average of the remaining numbers is 315.
- 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 5?
(a)
Sum of the 11 numbers
= 11 x 330
= 3630
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 315 x 9
= 2835
Sum of the two numbers
= 3630 - 2835
= 795
Smaller number = 1 u
Bigger number = 1 u + 5
Total = 1 u + 1 u + 5 = 2 u + 5
2 u + 5 = 795
2 u = 795 - 5
2 u = 790
1 u = 790 ÷ 2 = 395
Bigger number
= 1 u + 5
= 395 + 5
= 400
Answer(s): (a) 3630; (b) 400