Question

there are three numbers if the average of any two of them is added to third number the sum obtained are 177, 163 and 138 what is the average of the largest and the smallest of the given numbers​

Answer 1

Answer:

larger average =177

smaller average =138

Step-by-step explanation:

hope it helps u

Answer 2

Answer:

The average of largest and smallest of the given numbers​ is 76.

Given:

There are three numbers if the average of any two of them is added to third number the sum obtained are 177, 163 and 138  

To find:

What is the average of the largest and the smallest of the given numbers

Solution:

Let the three numbers be x, y, z.

$\frac{(x + y)}{2}$  + z = 177

x + y + 2z = 354 …(1)

$\frac{(y + z)}{2}$ + x = 163

2x + y + z = 326 …(2)

$\frac{(x + z)}{2}$+ y = 138

x + 2y + z = 276 …(3)

Adding eq(1),(2),(3) and dividing it by 4, we get

x + y + z = 239 ,,,(4)

sub  (1) – (4),  z = 115

sub (2) – (4),   x = 87

sub (3) – (4),   y = 37

The average of largest and smallest = $\frac{(115 + 37)}{2}$= 76.