A list of 13 numbers has an average of 332. When two numbers are deleted from the list, the average of the remaining numbers is 302.
- What is the sum of 13 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 13 numbers
= 13 x 332
= 4316
(b)
Remaining numbers
= 13 - 2
= 11
Sum of the remaining numbers
= 302 x 11
= 3322
Sum of the two numbers
= 4316 - 3322
= 994
Smaller number = 1 u
Bigger number = 1 u + 4
Total = 1 u + 1 u + 4 = 2 u + 4
2 u + 4 = 994
2 u = 994 - 4
2 u = 990
1 u = 990 ÷ 2 = 495
Bigger number
= 1 u + 4
= 495 + 4
= 499
Answer(s): (a) 4316; (b) 499