Civil Service Exam Reviewer · Ratio and Proportion · hard

Two numbers are in the ratio 3 : 4. If 6 is added to each, the ratio becomes 18 : 23. What is the larger of the original numbers?

  1. 46
  2. 30
  3. 40
  4. 52

Answer

C. 40

Solution

Let the numbers be 3k and 4k. (3k + 6)/(4k + 6) = 18/23 → k = 10. Larger = 4 × 10 = 40.

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