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The ratio of two numbers is 5:9. If each number is decreased by 5, the ratio becomes 5:11. Find the numbers.

Correct answer: D. 15, 27Enrolling In Online Certification Courses

  • A. 30, 19
  • B. 21, 37
  • C. 15, 34
  • D. 15, 27Enrolling In Online Certification Courses

Explanation

Let the numbers be 5k and 9k. After decreasing each by 5, (5k − 5):(9k − 5) = 5:11, so 11(5k − 5) = 5(9k − 5), giving k = 3 and numbers 15 and 27. The likely alternative is option b, 21 and 37, which does not preserve the original 5:9 ratio.

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Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.

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