The sum of five numbers is 655. The average of the first two numbers is 75 and the third number is 129. Find the average of the remaining two numbers?

Correct option is C

Given:

The sum of five numbers = 655

Average of the first two numbers = 75

The third number = 129

Formula Used:

Sum of numbers = Number of numbers × Average

Solution:

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

We know the sum of these numbers:
a + b + c + d + e = 655

The average of the first two numbers is 75:

​$$\frac{a + b}{2} = 75 \implies a + b = 15$$​0

The third number is given as 129:

c = 129

Now, substitute the values of a + b and c into the sum equation:

150 + 129 + d + e = 655

279 + d +$$e = 655 \implies d + e =$$​655 - 279 = 376

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

​$$\frac{d + e}{2} = \frac{376}{2} = 1$$​88

The average of the remaining two numbers is 188.