SOLUTION: If the average of x, y, and z is 32 and the average of y and z is 27, what is the average of x and 2x?

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Question 553318: If the average of x, y, and z is 32 and the average of y and z is 27, what is the average of x and 2x?
Answer by prateekagrawal(56) About Me  (Show Source):
You can put this solution on YOUR website!
average of y and z= 27
so,
%28y%2Bz%29%2F2+=+27
y%2Bz+=+54 -----(1)
.
average of x,y and z is 32.
so,
%28x%2By%2Bz%29%2F3+=+32
x%2By%2Bz+=+96 -----(2)
from equation one we have y+z = 54.
so, x+ 54 = 96.
x= 42.
so, 2x= 84.
average of x and 2x is : %2842%2B84%29%2F2+=+126%2F2+=+63+
so, 63 is the answer of this.