A list of 18 numbers has an average of 332. When two numbers are deleted from the list, the average of the remaining numbers is 307.
- 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 6?
(a)
Sum of the 18 numbers
= 18 x 332
= 5976
(b)
Remaining numbers
= 18 - 2
= 16
Sum of the remaining numbers
= 307 x 16
= 4912
Sum of the two numbers
= 5976 - 4912
= 1064
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 1064
2 u = 1064 - 6
2 u = 1058
1 u = 1058 ÷ 2 = 529
Bigger number
= 1 u + 6
= 529 + 6
= 535
Answer(s): (a) 5976; (b) 535