The sum of five numbers is 655. The average of the first two numbers is 77 and the third number is 129. Find the average of the remaining two numbers?

Correct option is B

Given:

The sum of five numbers is 655. The average of the first two numbers is 77 and the third number is 129.

Formula Used:

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

Solution:

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

We are given that the sum of the five numbers is 655:

a + b + c + d + e = 655

The average of the first two numbers is 77:

​$$\frac{a + b}{2} = 77 \implies a + b = 154$$​

The third number is 129, so:

c = 129

Substituting into the total sum:

154 + 129 + d + e = 655

d + e = 655 - 283 = 372

The average of the remaining two numbers d and e is:

​$$\frac{d + e}{2} = \frac{372}{2} = 186$$​

So, the average of the remaining two numbers is 186.