Multiple choice

The average of three numbers is 77. The first number is twice the second number, and the second number is twice the third number. Find the three numbers.

  1. $44, 22, 11$
  2. $88, 44, 22$
  3. $40, 20, 10$
  4. $133, 66, 33$
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D Correct answer
Explanation

Let the three numbers be x, y, z. Given: x + y + z = 77 x 3 = 231. Also x = 2y and y = 2z, so x = 4z. Substituting: 4z + 2z + z = 231, so 7z = 231, z = 33. Then y = 2 x 33 = 66, and x = 4 x 33 = 132. The numbers are 132, 66, 33.

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