The sum of five numbers is 655. The average of the first two numbers is 75 and the third number is 123. Find the average of the remaining two numbers?

Correct option is A

Given:

The sum of five numbers = 655

The average of the first two numbers = 75

The third number = 123

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

The sum of the first two numbers a + b = 75 × 2 = 150

The third number c = 123

The sum of all five numbers is a + b + c + d + e = 655

Now, substitute the known values into the equation:

150 + 123 + d + e = 655

273 + d + e = 655

d + e = 655 - 273 = 382

Average of d and e =$$\frac{d + e}{2} = \frac{382}{2} = 191$$​

So, the average of the remaining two numbers is 191.