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      Question

      The current age of Anupama is 25%

      greater than Chinky's age. Four years ago, the ages of Beena and Chinky were in the ratio of 4:5. If the combined present ages of Anupama and Beena add up to 50 years, determine the age difference between Beena and Chinky.
      A 4 yrs Correct Answer Incorrect Answer
      B 8 yrs Correct Answer Incorrect Answer
      C 6 yrs Correct Answer Incorrect Answer
      D 2 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the present age of 'Chinky' be '4x' years. So, present age of 'Anupama' = 4x × 1.25 = '5x' years So, present age of 'Beena' = (50 - 5x) years ATQ: {(50 - 5x - 4)/(4x - 4)} = (4/5) Or, 5 × (46 - 5x) = (4x - 4) × 4 Or, 230 - 25x = 16x - 16 Or, 246 = 41x So, x = 6 So, present age of 'Chinky' = 4x = 4 × 6 = 24 years And, present age of 'Beena' = 50 - 5x = 50 - 5 × 6 = 20 years So, required difference = 24 - 20 = 4 years

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