What is the average (arithmetic mean) of x, y, and z? If x+y=10; y+z=15; x+z=17.

Question

What is the average (arithmetic mean) of x, y, and z?  If x+y=10;  y+z=15;  x+z=17.

aravindg · Answer

so we are looking for 

$$\large \dfrac{x+y+z}{2}$$

aravindg · Answer

Can you try to get to this form ?

aravindg · Answer

just give it a try using the given equations

amoodarya · Answer

compute sum of them 
then you have the answer

aravindg · Answer

@Elak  any idea?

amoodarya · Answer

x+y+y+z+z+x=10+17+15
so its easy to go on!

aravindg · Answer

@amoodarya  you just spoiled the questions catch :(

anonymous · Answer

is it 8?

anonymous · Answer

2x+2y+2z=48
x+y+z=48/6 ???

amoodarya · Answer

(x+y+z)/3=(10+15+17)/3=42/3=14

anonymous · Answer

:D shame on me :(

amoodarya · Answer

other way to compute is 
solve the system of equation 
and then calculate mean value

anonymous · Answer

thank you very much AravindG and  amoodarya

amoodarya · Answer

x+y=10
y+z=15
z+x=17 
sum of three eq. is
2(x+y+z)=10+15+17=42

so  x+y+z=21 
now compare it with first equation

anonymous · Answer

yes, it so  easy )))

aravindg · Answer

yw :) and 

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