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      Question

      The present ages of A and B are in the ratio 8:5. The

      ratio of A’s age 16 years from now to B’s age 4 years ago is 3:1. If C’s current age is 25% less than the sum of A’s and B’s present ages, find C’s present age.
      A 24 yrs Correct Answer Incorrect Answer
      B 39 yrs Correct Answer Incorrect Answer
      C 44 yrs Correct Answer Incorrect Answer
      D 27 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let present ages of A and B be 8x and 5x years. (8x + 16)/(5x - 4) = 3/1 ⇒ 8x + 16 = 15x - 12 ⇒ 7x = 28 ⇒ x = 4 Therefore, present age of C = 0.75 × (8x + 5x) = 0.75 × 52 = 39 years

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