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      Question

      The present age of P is 40% more than that of Q, and the

      ratio of Q’s age to R’s age is 3:5. Find Q’s age 6 years ago if the oldest among them is 90 years old.
      A 48 yrs Correct Answer Incorrect Answer
      B 28 yrs Correct Answer Incorrect Answer
      C 32 yrs Correct Answer Incorrect Answer
      D 54 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, The ratio of age of P to Q = 140:100 = 7:5 Let the present age of P = 7x And the present age of Q = 5x And the present age of R = 5x × 5/3 = (25/3)x Since R is the eldest, (25/3)x = 90 x = 90 × 3/25 x = 270/25 x = 10.8 Age of Q = 5x = 5 × 10.8 = 54 Therefore, Q’s age 6 years ago = 54 – 6 = 48 years

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