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 316.
- 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 2?
(a)
Sum of the 11 numbers
= 11 x 330
= 3630
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 316 x 9
= 2844
Sum of the two numbers
= 3630 - 2844
= 786
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 786
2 u = 786 - 2
2 u = 784
1 u = 784 ÷ 2 = 392
Bigger number
= 1 u + 2
= 392 + 2
= 394
Answer(s): (a) 3630; (b) 394