The average of 12 numbers is 75. The average of the first 5 numbers is 68. The average of the next 5 numbers is 20% more than the average of the first 5 numbers. The 11th number is 12 more than the 12th number. What is the average of the 11th and 12th numbers?
Detailed Step-by-Step Explanation:
Sum of 12 numbers = 12 * 75 = 900. Average of 1st 5 = 68 (Sum = 340). Average of next 5 = 68 * 1.2 = 81.6 (Sum = 408). Sum of 1st 10 = 748. Sum of 11th and 12th = 900 – 748 = 152. Average of 11th and 12th = 152 / 2 = 76.
