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      Question

      The ratio of age of ‘P’ 4 years ago to the age of ‘Q’ 6 years hence from now is 3 : 5. If the sum of their present ages is 54 years, then find the age of ‘Q’ 2 years hence from now.

      A 31 years Correct Answer Incorrect Answer
      B 33 years Correct Answer Incorrect Answer
      C 29 years Correct Answer Incorrect Answer
      D 35 years Correct Answer Incorrect Answer

      Solution

      Let the present ages of ‘P’ and ‘Q’ be ‘p’ years and ‘q’ years respectively. Then, p + q = 54 Or, q = 54 − p ATQ, {(p - 4)}/{(q + 6)} = {3/5} Or, 5(p − 4) = 3(q + 6) Or, 5p − 20 = 3q + 18 Or, 5p − 3q = 38 Or, 5p − 3(54 − p) = 38 Or, 5p − 162 + 3p = 38 Or, 8p = 200 Or, p = 25 Or, q = 54 − 25 = 29 Therefore, age of ‘Q’ 2 years hence from now = 29 + 2 = 31 years

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