A list of 11 numbers has an average of 341. When two numbers are deleted from the list, the average of the remaining numbers is 322.
- 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 3?
(a)
Sum of the 11 numbers
= 11 x 341
= 3751
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 322 x 9
= 2898
Sum of the two numbers
= 3751 - 2898
= 853
Smaller number = 1 u
Bigger number = 1 u + 3
Total = 1 u + 1 u + 3 = 2 u + 3
2 u + 3 = 853
2 u = 853 - 3
2 u = 850
1 u = 850 ÷ 2 = 425
Bigger number
= 1 u + 3
= 425 + 3
= 428
Answer(s): (a) 3751; (b) 428