A list of 17 numbers has an average of 338. When two numbers are deleted from the list, the average of the remaining numbers is 311.
- What is the sum of 17 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 17 numbers
= 17 x 338
= 5746
(b)
Remaining numbers
= 17 - 2
= 15
Sum of the remaining numbers
= 311 x 15
= 4665
Sum of the two numbers
= 5746 - 4665
= 1081
Smaller number = 1 u
Bigger number = 1 u + 5
Total = 1 u + 1 u + 5 = 2 u + 5
2 u + 5 = 1081
2 u = 1081 - 5
2 u = 1076
1 u = 1076 ÷ 2 = 538
Bigger number
= 1 u + 5
= 538 + 5
= 543
Answer(s): (a) 5746; (b) 543