Question

If the average of x and y is 11 and the average of x, and y z is 5 what is the value of z

Answer 1

If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

Given,

The average of x and y = 11

We know average = Sum of the terms / Number of terms

Then, the equation will become

$\frac{x+y}{2}=11$
x+y =11×2

x+y =22

Average of x, y and z = 5

$\frac{x+y+z}{3}=5$

x+y+z = 5×3

x+y+z =15

Substitute the value of x+y

22+z=15

z =15-22

x = -7

Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

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