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Question

Two numbers are in the ratio 3:5. If 9 is subtracted from each number, the ratio becomes 12:23. The smaller number is:


  1. 27

  2. 33

  3. 49

  4. 55


Solution

The correct option is B

33


Let the number be 3x and 5x. Then, 3x95x9 = 1223

 23(3x  9) = 12(5x  9)

69x207=60x108

9x=99

x=11

The smaller number = (3 × 11) = 33.

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