A list of 13 numbers has an average of 334. When two numbers are deleted from the list, the average of the remaining numbers is 314.
- 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 6?
(a)
Sum of the 13 numbers
= 13 x 334
= 4342
(b)
Remaining numbers
= 13 - 2
= 11
Sum of the remaining numbers
= 314 x 11
= 3454
Sum of the two numbers
= 4342 - 3454
= 888
Smaller number = 1 u
Bigger number = 1 u + 6
Total = 1 u + 1 u + 6 = 2 u + 6
2 u + 6 = 888
2 u = 888 - 6
2 u = 882
1 u = 882 ÷ 2 = 441
Bigger number
= 1 u + 6
= 441 + 6
= 447
Answer(s): (a) 4342; (b) 447