Question

The sum of 33 consecutive even numbers is 78. What is the second number in this sequence?

Answer 1

Answer: The second number is 26

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Let's call:

x: The first even number.

x+2: the second consecutive even number.

x+4: the third consecutive even number.

2. So, you know that the sum ot the 3 consecutive numbers is 78, therefore, you must add them, as you can see below:

$x+(x+2)+(x+4)=78\\3x+6=78\\3x=78-6\\3x=72\\x=\frac{72}{3}\\x=24$

3. Substitute the value obtain into x+2. Therefore, the second number is:

$x+2=24+2=26$