The sum of five numbers is 655. The average of the first two numbers is 76 and the third number is 108. Find the average of the remaining two numbers?

Correct option is C

Given:

The sum of five numbers is 655.

The average of the first two numbers is 76.

The third number is 108.

We need to find the average of the remaining two numbers.

Formula Used:

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

Solution:

Let the five numbers be a, b, c, d, and e.

From the given information:

a + b + c + d + e = 655 (sum of the five numbers)

The average of the first two numbers is 76, so:

​$$\frac{a + b}{2} = 76$$​

a + b = 7$$6 \times 2 = 15$$2

The third number is 108, so:

c = 108

Now, 152 + 108 + d + e = 655

260 + d + e = 655

d + e = 655 - 260 = 395

Average of d and e $$= \frac{d + e}{2} = \frac{395}{2}$$ = 197.5

So, the average of the remaining two numbers is 197.5.