Ratio & Proportion · Question 14 · Hard

Two numbers are in the ratio 3 : 4. If 5 is subtracted from each, the ratio becomes 2 : 3. What is the sum of the numbers?

  1. 30
  2. 35
  3. 40
  4. 45
Answer and explanation

Answer: B. 35

Explanation: (3k − 5)/(4k − 5) = 2/3 gives 9k − 15 = 8k − 10, so k = 5. The numbers are 15 and 20, with sum 35.

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