Question

The average of three numbers x y and z is 8 if the average of x and y is 7 find the value of x,y and z​

Answer 1

Step-by-step explanation:

average of two numbers = (x + y)/2

7 = (x + y)/2

14 = x + y (I)

y = 14 - x

average of three numbers = (x + y + z)/3

8 = ( x + y + z) /3

24 = x + y + z (II)

putting value of x and y

24 = 14 + z

z = 24 - 14

z = 10

in equation (II) putting value of y and z

x + (14 - x) +10 = 24