Multiple choice

The average of a sequence of numbers 15, 17, 20, 22, x, y is 20. Find the average of x and y.

  1. 32

  2. 23

  3. 22

  4. 21

  5. 20
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B Correct answer
Explanation

Average of 6 numbers is 20, so sum = 6 * 20 = 120. 15 + 17 + 20 + 22 + x + y = 120. 74 + x + y = 120. x + y = 46. Average of x and y = (x + y) / 2 = 46 / 2 = 23.

AI explanation

The sum of the six numbers is 6 times 20, which equals 120. The sum of the known numbers (15 + 17 + 20 + 22) is 74. The sum of x and y must be 120 - 74 = 46. The average of x and y is 46 / 2 = 23.

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