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Subtracting 5 from each of two numbers in the ratio 3 : 7 changes their ratio to 1 : 3. What is the larger number?

Competition practiceRatio, Proportion & Mixtures
  • A35
  • B15
  • C30
  • D25

Step-by-Step Solution

Let the numbers be 3k and 7k. 3(3k − 5) = 7k − 5 gives 9k − 15 = 7k − 5, so k = 5. Numbers are 15 and 35; larger = 35.
Answer: A) 35

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