Civil Service Exam Reviewer · Ratio and Proportion · hard

Two numbers are in the ratio 5 : 8. If 20 is added to each, the ratio becomes 19 : 28. What is the larger of the original numbers?

  1. 140
  2. 75
  3. 120
  4. 160

Answer

C. 120

Solution

Let the numbers be 5k and 8k. (5k + 20)/(8k + 20) = 19/28 → k = 15. Larger = 8 × 15 = 120.

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