Multiple choice

The average of six numbers is 3.95. If the average of two numbers is 3.4 and that of the other two is 3.85, then find the average of the remaining two numbers.

  1. 4.8

  2. 4.7

  3. 4.6

  4. 4.5

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C Correct answer
Explanation

The sum of 6 numbers is 6 * 3.95 = 23.7. The sum of the first two is 2 * 3.4 = 6.8, and the sum of the next two is 2 * 3.85 = 7.7. The sum of the remaining two is 23.7 - (6.8 + 7.7) = 23.7 - 14.5 = 9.2, so their average is 9.2 / 2 = 4.6.

AI explanation

The sum of all six numbers is 3.95 * 6 = 23.7. The sum of the first two numbers is 3.4 * 2 = 6.8, and the sum of the next two is 3.85 * 2 = 7.7. The sum of the remaining two numbers is 23.7 - (6.8 + 7.7) = 9.2. The average of these two numbers is 9.2 / 2 = 4.6.