A list of 14 numbers has an average of 332. When two numbers are deleted from the list, the average of the remaining numbers is 303.
- 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 4?
(a)
Sum of the 14 numbers
= 14 x 332
= 4648
(b)
Remaining numbers
= 14 - 2
= 12
Sum of the remaining numbers
= 303 x 12
= 3636
Sum of the two numbers
= 4648 - 3636
= 1012
Smaller number = 1 u
Bigger number = 1 u + 4
Total = 1 u + 1 u + 4 = 2 u + 4
2 u + 4 = 1012
2 u = 1012 - 4
2 u = 1008
1 u = 1008 ÷ 2 = 504
Bigger number
= 1 u + 4
= 504 + 4
= 508
Answer(s): (a) 4648; (b) 508