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Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, they are in the ratio of 12 : 23. The larger number is ______.

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Question

Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, they are in the ratio of 12 : 23. The larger number is ______.

Options

  • 40

  • 45

  • 55

  • 60

MCQ
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Solution

Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, they are in the ratio of 12 : 23. The larger number is 55.

Explanation:

Let the numbers be 3k and 5k.

From `(3k - 9)/(5k - 9) = 12/23`, we get k = 11; the larger number is 5k = 55.

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Chapter 7: Ratio and Proportion - COMPETENCY-FOCUSED QUESTIONS [Page 117]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 7 Ratio and Proportion
COMPETENCY-FOCUSED QUESTIONS | Q 52. | Page 117
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