In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?

To solve this problem, we first need to understand the properties of consecutive even numbers. Consecutive even numbers increase by 2 each time.

Let's denote the first number in the series as 'x'. Therefore, the six numbers in the series would be x, x+2, x+4, x+6, x+8, and x+10.

According to the problem, the sum of the second and sixth numbers is 24. So, we can write the equation as follows:

(x+2) + (x+10) = 24

Solving this equation:

2x + 12 = 24 2x = 24 - 12 2x = 12 x = 12 / 2 x = 6

So, the first number in the series is 6. The fourth number would therefore be x+6, which equals 6+6 = 12.

So, the fourth number in the series is 12.