A list of 14 numbers has an average of 342. When two numbers are deleted from the list, the average of the remaining numbers is 321.
- 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 6?
(a)
Sum of the 14 numbers
= 14 x 342
= 4788
(b)
Remaining numbers
= 14 - 2
= 12
Sum of the remaining numbers
= 321 x 12
= 3852
Sum of the two numbers
= 4788 - 3852
= 936
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 936
2 u = 936 - 6
2 u = 930
1 u = 930 ÷ 2 = 465
Bigger number
= 1 u + 6
= 465 + 6
= 471
Answer(s): (a) 4788; (b) 471