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Priya got 9 marks more in History than what she got in Geography. Her history marks are 56% of the sum of her History and Geography marks. What are her Geography marks?

Priya got 9 marks more in History than what she got in Geography. Her history marks are 56% of the sum of her History and Geography marks. What are her Geography marks? Correct Answer 33

Let Priya’s marks in Geography and History be ‘x’ and ‘y’ respectively

She got 9 more marks in History than in Geography,

⇒ y = x + 9

Also, her History marks is 56% of sum of both marks

⇒ y = 56% of (x + y)

⇒ y = 0.56x + 0.56y

⇒ 0.44y = 0.56x

Substituting for y,

⇒ 0.44(x + 9) = 0.56x

⇒ 0.44x + 3.96 = 0.56x

⇒ 0.12x = 3.96

⇒ x = 3.96/0.12 = 33

∴ Priya’s Geography marks = 33

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