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Adding 8 to each of two numbers that are in the ratio 2 : 3 changes their ratio to 3 : 4. What is the smaller number?

Competition practiceRatio, Proportion & Mixtures
  • A16
  • B24
  • C12
  • D20

Step-by-Step Solution

Let the numbers be 2k and 3k. (2k + 8)/(3k + 8) = 3/4 → 8k + 32 = 9k + 24 → k = 8. Smaller number = 16.
Answer: A) 16

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