The sum of three consecutive even number is 60. What is the third number? 

Group of answer choices

24

26

22

20

Let's denote the three consecutive even numbers as \( x \), \( x + 2 \), and \( x + 4 \).

The sum of these numbers is given as 60:

\[
x + (x + 2) + (x + 4) = 60
\]

Simplifying the equation:

\[
3x + 6 = 60
\]

Subtract 6 from both sides:

\[
3x = 54
\]

Now, divide by 3:

\[
x = 18
\]

So, the three numbers are 18, 20, and 22. The third number is:

\[
22
\]

The correct answer is **22**.

Would you like more details or have any questions? Here are some related problems:

1. What is the sum of four consecutive odd numbers if the smallest is 11?
2. Find the average of three consecutive even numbers whose sum is 72.
3. What are the three consecutive numbers if their sum is 51?
4. Find three consecutive multiples of 5 whose sum is 75.
5. If the sum of two consecutive even numbers is 86, what are the numbers?

**Tip:** When dealing with consecutive numbers, using algebraic expressions helps to set up and solve equations quickly.

The sum of three consecutive even numbers is 60. What is the third number?

Solve the problem of finding the third number in a set of three consecutive even numbers where their sum is 60. Learn the step-by-step algebraic process to solve the equation 3x + 6 = 60. Suitable for students in Grades 6-8.

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