A list of 14 numbers has an average of 344. When two numbers are deleted from the list, the average of the remaining numbers is 302.
- 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 344
= 4816
(b)
Remaining numbers
= 14 - 2
= 12
Sum of the remaining numbers
= 302 x 12
= 3624
Sum of the two numbers
= 4816 - 3624
= 1192
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 1192
2 u = 1192 - 6
2 u = 1186
1 u = 1186 ÷ 2 = 593
Bigger number
= 1 u + 6
= 593 + 6
= 599
Answer(s): (a) 4816; (b) 599