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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 |
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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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