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Mixture contains total (X + Y) liters ATQ, = X² + XY – 30X = XY + Y² – 30Y + 30X + 30Y ⇒ X² – Y² = 60X …(i) And, 2X² + 2XY – 120X = XY + Y² – 60Y + 60X + 60Y 2X 2 + XY = 180X +Y 2 …(ii) Subtract (i) from (ii) X² + XY = 120X X + Y = 120ℓ …(iii) But X² – Y² = 60X ⇒ (X + Y) (X – Y) = 60X ⇒ 2 (X – Y) = X ⇒ 2X – 2Y = X ⇒ X = 2Y …(iv) By using (iii) & (iv) ⇒ Y = 40ℓ And X = 80ℓ Quantity I: X = 80lt Quantity II: Y + 40 = 40 + 40 = 80ℓ Quantity I = Quantity II
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