A list of 11 numbers has an average of 342. When two numbers are deleted from the list, the average of the remaining numbers is 310.
- What is the sum of 11 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 11 numbers
= 11 x 342
= 3762
(b)
Remaining numbers
= 11 - 2
= 9
Sum of the remaining numbers
= 310 x 9
= 2790
Sum of the two numbers
= 3762 - 2790
= 972
Smaller number = 1 u
Bigger number = 1 u + 2
Total = 1 u + 1 u + 2 = 2 u + 2
2 u + 2 = 972
2 u = 972 - 2
2 u = 970
1 u = 970 ÷ 2 = 485
Bigger number
= 1 u + 2
= 485 + 2
= 487
Answer(s): (a) 3762; (b) 487