- Multiply and Divide Decimals
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- Decimal Multiplication
- Multiplication of a Decimal by a Whole Number
- Decimal Multiplication: Problem Type 1
- Decimal Multiplication: Problem Type 2
- Multiplication of a Decimal by a Power of Ten
- Multiplication of a Decimal by a Power of 0.1
- Multiplication of Decimals That Have a Product Less Than 0.1
- Word Problem With Multiplication of Decimal and Whole Number
- Word Problem With Multiplication of Two Decimals
- Word Problem With Multiple Decimal Operations: Problem type 1
- Whole Number Division With Decimal Answers
- Division of a Decimal by a Whole Number
- Division of a Decimal by a 1-digit Decimal
- Division of a Decimal by a 2-digit Decimal
- Division of a Decimal by a Power of Ten
- Division of a Decimal by a Power of 0.1
- Decimal Division With Rounding
- Word Problem With Division of a Decimal and a Whole Number
- Word Problem With Division of Two Decimals
- Word Problem With Multiple Decimal Operations: Problem Type 2
- Average of Two Numbers

- Exponents of Decimals
- Squaring Decimal Bases: Products Greater Than 0.1
- Exponents and Decimals: Products Less Than 0.1

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# 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