A list of 14 numbers has an average of 333. When two numbers are deleted from the list, the average of the remaining numbers is 304.
- What is the sum of 14 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 14 numbers
= 14 x 333
= 4662
(b)
Remaining numbers
= 14 - 2
= 12
Sum of the remaining numbers
= 304 x 12
= 3648
Sum of the two numbers
= 4662 - 3648
= 1014
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 1014
2 u = 1014 - 6
2 u = 1008
1 u = 1008 ÷ 2 = 504
Bigger number
= 1 u + 6
= 504 + 6
= 510
Answer(s): (a) 4662; (b) 510