A list of 18 numbers has an average of 347. When two numbers are deleted from the list, the average of the remaining numbers is 306.
- What is the sum of 18 numbers?
- What is the bigger number between the two numbers that have been deleted given that the difference between the two numbers is 2?
(a)
Sum of the 18 numbers
= 18 x 347
= 6246
(b)
Remaining numbers
= 18 - 2
= 16
Sum of the remaining numbers
= 306 x 16
= 4896
Sum of the two numbers
= 6246 - 4896
= 1350
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 1350
2 u = 1350 - 2
2 u = 1348
1 u = 1348 ÷ 2 = 674
Bigger number
= 1 u + 2
= 674 + 2
= 676
Answer(s): (a) 6246; (b) 676