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Two numbers are in the ratio of 3:7. If 5 is subtracted from each of the numbers, the ratio becomes 4:11. The numbers are

Question and options

Two numbers are in the ratio of 3:7. If 5 is subtracted from each of the numbers, the ratio becomes 4:11. The numbers are
  1. 18,42
  2. 12,28
  3. 15,35
  4. 21,49

Answer and explanation

Correct answer: D - 21,49
Let the numbers be 3x and 7x: (3x-5)/(7x-5) = 4/11 gives 33x - 55 = 28x - 20, so x = 7. The numbers are 21 and 49. Check: 16/44 = 4/11.

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  • CUSAT CAT LLM

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