If the average of four consecutive odd numbers is 12, find the smallest of…

2024

If the average of four consecutive odd numbers is 12, find the smallest of these numbers?

  1. A.

    5

  2. B.

    7

  3. C.

    9

  4. D.

    11

Attempted by 6 students.

Show answer & explanation

Correct answer: C

Answer: 9

Explanation:

  1. Let the four consecutive odd numbers be x, x+2, x+4, and x+6.

  2. Their average is (x + (x+2) + (x+4) + (x+6))/4 = (4x + 12)/4, and this equals 12.

  3. So 4x + 12 = 48. Subtract 12 to get 4x = 36, hence x = 9.

  4. Therefore the smallest number is 9.

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