Civil Service Exam Reviewer · Ratio and Proportion · hard

Two numbers are in the ratio 1 : 2. If 14 is added to each, the ratio becomes 23 : 32. What is the larger of the original numbers?

  1. 32
  2. 9
  3. 46
  4. 18

Answer

D. 18

Solution

Let the numbers be 1k and 2k. (1k + 14)/(2k + 14) = 23/32 → k = 9. Larger = 2 × 9 = 18.

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