Civil Service Exam Reviewer · Ratio and Proportion · hard

Two numbers are in the ratio 1 : 7. If 10 is added to each, the ratio becomes 1 : 3. What is the larger of the original numbers?

  1. 45
  2. 5
  3. 55
  4. 35

Answer

D. 35

Solution

Let the numbers be 1k and 7k. (1k + 10)/(7k + 10) = 1/3 → k = 5. Larger = 7 × 5 = 35.

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