A list of 12 numbers has an average of 349. When two numbers are deleted from the list, the average of the remaining numbers is 304.
- What is the sum of 12 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 12 numbers
= 12 x 349
= 4188
(b)
Remaining numbers
= 12 - 2
= 10
Sum of the remaining numbers
= 304 x 10
= 3040
Sum of the two numbers
= 4188 - 3040
= 1148
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 1148
2 u = 1148 - 6
2 u = 1142
1 u = 1142 ÷ 2 = 571
Bigger number
= 1 u + 6
= 571 + 6
= 577
Answer(s): (a) 4188; (b) 577