A list of 12 numbers has an average of 332. When two numbers are deleted from the list, the average of the remaining numbers is 314.
- 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 4?
(a)
Sum of the 12 numbers
= 12 x 332
= 3984
(b)
Remaining numbers
= 12 - 2
= 10
Sum of the remaining numbers
= 314 x 10
= 3140
Sum of the two numbers
= 3984 - 3140
= 844
Smaller number = 1 u
Bigger number = 1 u + 4
Total = 1 u + 1 u + 4 = 2 u + 4
2 u + 4 = 844
2 u = 844 - 4
2 u = 840
1 u = 840 ÷ 2 = 420
Bigger number
= 1 u + 4
= 420 + 4
= 424
Answer(s): (a) 3984; (b) 424