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Discussion :: Ratio and Proportion

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

    2. A.

    27
    B.

    33
    C.

    49
    D.

    55

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    Answer : Option B

    Explanation :

    Let the numbers be 3x and 5x

     

    Then,\( \frac { 3X-9 } {5X-9 } \) =\( \frac { 12 } { 23 }\)

     

     23(3x - 9) = 12(5x - 9)

     

     9x = 99

     

     x = 11.

     

     The smaller number = (3 x 11) = 33.

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