1.

If the average of X and Y is 200, the average of Y and Z is 238.5 and that of X and Z is 152.5. Find the average of X, Y and Z.1). 1612). 1733). 1974). 215

Answer»

Given, (X + Y)/2 = 200

⇒ X + Y = 400 …(1)

ALSO, (Y + Z)/2 = 238.5

⇒ Y + Z = 477 …(2)

Also, (X + Z)/2 = 152.5

⇒ X + Z = 305 …(3)

Adding all the EQUATIONS,

⇒ 2(X + Y + Z) = 400 + 477 + 305

⇒ X + Y + Z = 1182/2 = 591

⇒ (X + Y + Z)/3 = 591/3 = 197

∴ The required average is 197


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