Average of five numbers is 20. If each number is multiplied by 2, what will be the new average?

Options

A. 30
B. 40
C. 50
D. 60

Answer

To solve the problem step by step, let's break it down:

1. **Understanding the average**: The average of five numbers is given as 20. This means that if we denote the five numbers as A, B, C, D, and E, we can express the average mathematically as:
\[ \text{Average} = \frac{A + B + C + D + E}{5} = 20 \]

2. **Finding the sum of the numbers**: From the average formula, we can find the sum of the five numbers:
\[ A + B + C + D + E = 20 \times 5 = 100 \]

3. **Multiplying each number by 2**: Now, if each of these numbers is multiplied by 2, the new numbers become:
\[ 2A, 2B, 2C, 2D, 2E \]

4. **Finding the new sum**: The sum of the new numbers can be calculated as:
\[ 2A + 2B + 2C + 2D + 2E = 2(A + B + C + D + E) = 2 \times 100 = 200 \]

5. **Calculating the new average**: The new average is then calculated by dividing the new sum by the number of numbers (which remains 5):
\[ \text{New Average} = \frac{200}{5} = 40 \]

Thus, the new average after multiplying each number by 2 is **40**.