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The difference of two numbers is 15% of their sum. The ratio of the larger number to the smaller number is ______.

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Question

The difference of two numbers is 15% of their sum. The ratio of the larger number to the smaller number is ______.

Options

  • 23 : 17

  • 11 : 9

  • 17 : 11

  • 23 : 11

MCQ
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Solution

The difference of two numbers is 15% of their sum. The ratio of the larger number to the smaller number is 23 : 17.

Explanation:

(x − y) = (x + y) `3/20`

⇒ 20x − 20y = 3x + 3y

⇒ 17x = 23y

⇒ x : y

⇒ 23 : 17

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Percentage (Entrance Exam)
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