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      Question

      The number of cats and dogs in a shelter are in the ratio

      6:5. If the number of cats decreased by 24 and number of dogs increased by 6, their numbers would be equal. Find the original number of dogs in the shelter.
      A 125 Correct Answer Incorrect Answer
      B 173 Correct Answer Incorrect Answer
      C 147 Correct Answer Incorrect Answer
      D 150 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number of cats and dogs be '6n' and '5n', respectively.

      So, 6n - 24 = 5n + 6

      Or, 'n' = 30

      Therefore, number of dogs = 30 Γ— 5 = 150

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