Multiple choice

Let set $M = \left {x, 2x, 4x\right }$ for any number $x$. If the average (arithmetic mean) of the numbers in set $M$ is $14$, find the value of $x$.

  1. $2$
  2. $6$
  3. $7$
  4. $10$
  5. $12$
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B Correct answer
Explanation

Average = (x + 2x + 4x) / 3 = 14. 7x / 3 = 14. 7x = 42. x = 6.

AI explanation

The arithmetic mean of set M is calculated as (x + 2x + 4x) divided by 3, which simplifies to 7x divided by 3. Setting this equal to the given average of 14 results in the equation 7x / 3 = 14. Solving this equation yields x = 6.

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