Question

the average of three numbers is 16. if one of the numbers is 18, what is the sum of the other two numbers? 24 32 30 28

Explanation:

Step1: Recall the average formula

The formula for the average of \( n \) numbers is \( \text{Average} = \frac{\text{Sum of numbers}}{n} \). Here, \( n = 3 \) and the average is \( 16 \). So we can find the total sum of the three numbers.
Using the formula, \( \text{Sum of three numbers} = \text{Average} \times n = 16\times3 = 48 \).

Step2: Find the sum of the other two numbers

We know one of the numbers is \( 18 \). Let the sum of the other two numbers be \( S \). Then the sum of all three numbers is \( S + 18 \). We already found the total sum is \( 48 \), so we set up the equation \( S + 18 = 48 \).
Solving for \( S \), we subtract \( 18 \) from both sides: \( S = 48 - 18 = 30 \).

Answer:

30