Civil Service Exam Reviewer · Ratio and Proportion · hard
Two numbers are in the ratio 2 : 9. If 16 is added to each, the ratio becomes 34 : 97. What is the larger of the original numbers?
- 97
- 81
- 18
- 113
Answer
B. 81
Solution
Let the numbers be 2k and 9k. (2k + 16)/(9k + 16) = 34/97 → k = 9. Larger = 9 × 9 = 81.
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