1.

The average weight of X, Y and Z is 74 kg. If the average weight of X and Y be 68 kg and that of Y and Z be 78 kg, then the weight (in kg) of Y is _____.1). 722). 703). 684). 66

Answer»

Since the average WEIGHT of X, Y and Z is 74 kg,

⇒ X + Y + Z = 74 × 3 = 222---- (1)

The average weight of X and Y be 68 kg and that of Y and Z be 78 kg,

⇒ X + Y = 68 × 2 = 136---- (2)

⇒ Y + Z = 78 × 2 = 156---- (3)

Adding equation 2 and 3,

⇒ X + Y + Y + Z = 136 + 156 = 292

Subtracting equation 1 from it,

⇒ Y = 292 - 222 = 70

∴ Weight of Y = 70 kg


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