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Two numbers are in the ratio 3 : 5. When 10 is subtracted from each, the ratio becomes 1 : 2. What is the larger number?

Competition practiceRatio, Proportion & Mixtures
  • A50
  • B30
  • C40
  • D60

Step-by-Step Solution

Let the numbers be 3k and 5k. (3k − 10)/(5k − 10) = 1/2 gives 6k − 20 = 5k − 10, so k = 10. Larger number = 50.
Answer: A) 50

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