The average of 7 numbers is 57. If each number is increased by 6, what will the new average be?

Correct option is A

Given:

Average of 7 numbers = 57

Formula Used:

Average =$$\frac{\text{Sum of numbers}}{\text{Number of numbers}}$$​​

Solution:

Sum = Average $$\times$$​ Number of numbers

Sum = 57$$\times$$7 = 399​

Since there are 7 numbers, the total increase in the sum is 7$$\times$$ 6 = 42​

New Sum = Original Sum + Total Increase

New Sum = 399 + 42 = 441

New Average =$$\frac{\text{New Sum}}{\text{Number of numbers}}$$​​

New Average = $$\frac{441 }{ 7}$$​ = 63

Therefore, the new average will be 63.

Option (A) is right.