Question

There are three numbers 'x', 'y' and 'z' such that average of 'x' and 'y' is 18, average of 'y' and 'z' is 22 and average of 'x' and 'z' is 20. Find the average of 'x', 'y' and 'z'.

Q: Answer-There are three numbers 'x', 'y' and 'z' such that average of 'x' and 'y' is 18, average of 'y' and...

x y 2 18Or, x y 36 -------- Iy z 2 22Or, y z 44 -------- IIx z 2 20Or, x z 40 -------- IIIOn adding equations I, II and III,We get, x y y z x z 36 44 40Or, 2 x y z 120Or, x y z 60Therefore, required average 603 20

A 18

B 19

C 20

D 21

E 22

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There are three numbers 'x', 'y' and 'z' such that average of 'x' and 'y' is 18, average of 'y' and 'z' is 22 and average of 'x' and 'z' is 20. Find the average of 'x', 'y' and 'z'.

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