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

Given:

• The average of five numbers is 20.

To find:

• The new average if each number is multiplied by 2.

Solution:

1. The average of five numbers is 20, so the sum of the five numbers is:

Sum=Average×Number of values=20×5=100\text{Sum}=\text{Average}\times \text{Number of values}=20\times 5=100Sum=Average×Number of values=20×5=100

2. If each number is multiplied by 2, the new sum will be:

100×2=200100\times 2=200100×2=200

3. The new average will be:

New sumNumber of values=2005=40\frac{\text{New sum}}{\text{Number of values}}=\frac{200}{5}=40Number of valuesNew sum​=5200​=40

Final answer:

The new average will be 40.