A list of 18 numbers has an average of 346. When two numbers are deleted from the list, the average of the remaining numbers is 323.
- What is the sum of 18 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 18 numbers
= 18 x 346
= 6228
(b)
Remaining numbers
= 18 - 2
= 16
Sum of the remaining numbers
= 323 x 16
= 5168
Sum of the two numbers
= 6228 - 5168
= 1060
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 1060
2 u = 1060 - 2
2 u = 1058
1 u = 1058 ÷ 2 = 529
Bigger number
= 1 u + 2
= 529 + 2
= 531
Answer(s): (a) 6228; (b) 531