# Average of Two Numbers

Average is a number that represents a group of numbers. It is calculated by adding up all the numbers, then dividing the total by the count of numbers.

In other words, it is the sum divided by the count.

Average of two numbers is given by the sum of the two numbers divided by two.

The average of two numbers is given by x = (a + b)/2 where x is the average a and b are any two numbers.

What is the average of the numbers 6 and 18?

### Solution

Step 1:

Adding the numbers: 6 + 18 = 24

Dividing by 2: 24 / 2 = 12

Step 2:

The average of the two numbers 6 and 18 is 12

If the average of 19 and q is 27, what number is q?

### Solution

Step 1:

The average of 19 and q = (19 + q)/2 = 27

19 + q = 27 × 2 = 54

q = 54 – 19 = 35

Step 2:

So, the number q is 35

If the average of two consecutive even numbers is 35, what are those numbers?

### Solution

Step 1:

Let the consecutive even numbers be n and n+2

Their average is (n + n + 2)/2 = (2n + 2)/2 = 35

(2n + 2) = 35 × 2 = 70

2n = 70 – 2 = 68; n = 68/2 = 34

Step 2:

So, the consecutive even numbers are 34 and 34+2 or 34 and 36