In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers Is 3 and the average of the first and the last numbers is 4. What is the average of three numbers?

In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers Is 3 and the average of the first and the last numbers is 4. What is the average of three numbers?

Explanation

Let the three numbers be x,y,z

(x+y)/2=2

(y+z)/2=3

(x+z)/2=4

from all equations,

x+y=4

y+z=6

x+z = 8

Add all equations

2(x+y+z) = 18

x+y+z = 9

Avg of 3 nos = (x+y+z)/3

= 9/3

= 3

ND5-07-2023