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 314.
- 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 338
= 5746
(b)
Remaining numbers
= 17 - 2
= 15
Sum of the remaining numbers
= 314 x 15
= 4710
Sum of the two numbers
= 5746 - 4710
= 1036
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 1036
2 u = 1036 - 2
2 u = 1034
1 u = 1034 ÷ 2 = 517
Bigger number
= 1 u + 2
= 517 + 2
= 519
Answer(s): (a) 5746; (b) 519