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      Question

      7 years ago, the age ratio between β€˜M’ and β€˜N’

      was 4:5. Present average age of β€˜M’ and β€˜O’ is 70 years. Determine the current age of β€˜P’ who is 50% more than the current age of β€˜N’, if 3 years later, the average age of β€˜N’ and β€˜O’ will be 75 years.
      A 25 yrs Correct Answer Incorrect Answer
      B 65 yrs Correct Answer Incorrect Answer
      C 42 yrs Correct Answer Incorrect Answer
      D 29 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the age of β€˜M’, 7 years ago be β€˜4x’ years And, age of β€˜N’, 7 years ago = 4x Γ— (5/4) = β€˜5x’ years So, present age of β€˜M’ = (4x + 7) years And, present age of β€˜N’ = (5x + 7) years Sum of present ages of β€˜M’ and β€˜O’ = (70 Γ— 2) = 140 years So, present age of β€˜O’ = 140 - (4x + 7) = (133 - 4x) years According to question: (5x + 7) + (133 - 4x) = (75 Γ— 2) - 6 Or, x + 140 = 150 - 6 Or, x = 144 - 140 Or, x = 4 So, present age of β€˜N’ = (5 Γ— 4 + 7) = 27 years And, present age of β€˜P’ = (27 Γ— 1.5) = 40.5 years

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