A list of 17 numbers has an average of 350. When two numbers are deleted from the list, the average of the remaining numbers is 314.
- 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 350
= 5950
(b)
Remaining numbers
= 17 - 2
= 15
Sum of the remaining numbers
= 314 x 15
= 4710
Sum of the two numbers
= 5950 - 4710
= 1240
Smaller number = 1 u
Bigger number = 1 u + 4
Total = 1 u + 1 u + 4 = 2 u + 4
2 u + 4 = 1240
2 u = 1240 - 4
2 u = 1236
1 u = 1236 ÷ 2 = 618
Bigger number
= 1 u + 4
= 618 + 4
= 622
Answer(s): (a) 5950; (b) 622