A list of 17 numbers has an average of 347. When two numbers are deleted from the list, the average of the remaining numbers is 321.
- 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 2?
(a)
Sum of the 17 numbers
= 17 x 347
= 5899
(b)
Remaining numbers
= 17 - 2
= 15
Sum of the remaining numbers
= 321 x 15
= 4815
Sum of the two numbers
= 5899 - 4815
= 1084
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 1084
2 u = 1084 - 2
2 u = 1082
1 u = 1082 ÷ 2 = 541
Bigger number
= 1 u + 2
= 541 + 2
= 543
Answer(s): (a) 5899; (b) 543