The average of 12 numbers is 15 and the average of the first two numbers is 14. What is the average of the remaining numbers?

Given: The average of 12 numbers is 15 and the average of the first two numbers is 14.

The average of 12 numbers is 15, so the total sum of these numbers is:

12 × 15 = 180

The average of the first two numbers is 14, so the sum of these two numbers is:

2 × 14 = 28

To find the average of the remaining 10 numbers, we first determine their total sum:

Sum of remaining 10 numbers:

= 180 – 28

= 152

Now, the average of these 10 numbers is:

= $$\frac{152}{10}$$​

= 15.2

Thus, correct option is (a).