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 300.
- 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 4?
(a)
Sum of the 11 numbers
= 11 x 330
= 3630
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 300 x 9
= 2700
Sum of the two numbers
= 3630 - 2700
= 930
Smaller number = 1 u
Bigger number = 1 u + 4
Total = 1 u + 1 u + 4 = 2 u + 4
2 u + 4 = 930
2 u = 930 - 4
2 u = 926
1 u = 926 ÷ 2 = 463
Bigger number
= 1 u + 4
= 463 + 4
= 467
Answer(s): (a) 3630; (b) 467