How do you find the third number in an average if the average is 45.7 and the sum of the two numbers is 38.6?

To find the third number when the average is 45.7 and the sum of the first two numbers is 38.6, you can calculate it by doubling the average (91.4) and then subtracting the sum of the two given numbers (38.6). The third number in this scenario is 52.8.

Explanation:

When dealing with averages, it's important to understand that the average of a set of numbers is calculated by dividing the sum of those numbers by the total count of numbers. In this case, you're given that the average is 45.7. This means that the total of all three numbers divided by 3 is equal to 45.7.

Let's represent the unknown third number as "x". You're also given that the sum of the two known numbers is 38.6. This can be represented as:

x + Sum of two known numbers = Total sum of all three numbers

x + 38.6 = Total sum / 3

x + 38.6 = 45.7

Now, to find the value of x, you need to isolate it on one side of the equation. Subtracting 38.6 from both sides gives:

x = 45.7 - 38.6

x = 7.1

So, the third number is 7.1.

Averages provide a way to understand the central tendency of a set of values. By calculating the average, you can gain insights into the general value or trend of a group of numbers. When given the average and information about the sum of certain values within the group, you can apply mathematical manipulation to find missing values and complete the dataset.

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