A list of 17 numbers has an average of 331. 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 6?
(a)
Sum of the 17 numbers
= 17 x 331
= 5627
(b)
Remaining numbers
= 17 - 2
= 15
Sum of the remaining numbers
= 311 x 15
= 4665
Sum of the two numbers
= 5627 - 4665
= 962
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 962
2 u = 962 - 6
2 u = 956
1 u = 956 ÷ 2 = 478
Bigger number
= 1 u + 6
= 478 + 6
= 484
Answer(s): (a) 5627; (b) 484