In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
Correct answer: B. 12
- A. 8
- B. 12
- C. 6
- D. 14
- E. None of these
Explanation
Write the six consecutive even numbers as x, x + 2, x + 4, x + 6, x + 8 and x + 10. The second and sixth sum to 2x + 12 = 24, so x = 6 and the fourth number is x + 6 = 12. A likely choice is option a, 8, from counting the fourth term as three increments after the first instead of three increments of 2.
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