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      Question

      The ratio of two numbers is 21 : 37 such that the

      difference between them is 304. If m be the smaller of the two numbers, then find the sum of the digits of m.
      A 10 Correct Answer Incorrect Answer
      B 12 Correct Answer Incorrect Answer
      C 15 Correct Answer Incorrect Answer
      D 21 Correct Answer Incorrect Answer

      Solution

      Let the numbers be 21x and 37x. Given: 37x - 21x = 304  16x = 304  x = 19 Smaller number m = 21x = 21 x 19 = 399 Sum of digits of 399 = 3 + 9 + 9 = 21

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