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 312.
- 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 332
= 3984
(b)
Remaining numbers
= 12 - 2
= 10
Sum of the remaining numbers
= 312 x 10
= 3120
Sum of the two numbers
= 3984 - 3120
= 864
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 864
2 u = 864 - 6
2 u = 858
1 u = 858 ÷ 2 = 429
Bigger number
= 1 u + 6
= 429 + 6
= 435
Answer(s): (a) 3984; (b) 435