A list of 17 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 17 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 17 numbers
= 17 x 332
= 5644
(b)
Remaining numbers
= 17 - 2
= 15
Sum of the remaining numbers
= 312 x 15
= 4680
Sum of the two numbers
= 5644 - 4680
= 964
Smaller number = 1 u
Bigger number = 1 u + 4
Total = 1 u + 1 u + 4 = 2 u + 4
2 u + 4 = 964
2 u = 964 - 4
2 u = 960
1 u = 960 ÷ 2 = 480
Bigger number
= 1 u + 4
= 480 + 4
= 484
Answer(s): (a) 5644; (b) 484