A list of 14 numbers has an average of 347. When two numbers are deleted from the list, the average of the remaining numbers is 300.
- What is the sum of 14 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 14 numbers
= 14 x 347
= 4858
(b)
Remaining numbers
= 14 - 2
= 12
Sum of the remaining numbers
= 300 x 12
= 3600
Sum of the two numbers
= 4858 - 3600
= 1258
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 1258
2 u = 1258 - 2
2 u = 1256
1 u = 1256 ÷ 2 = 628
Bigger number
= 1 u + 2
= 628 + 2
= 630
Answer(s): (a) 4858; (b) 630