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      Question

      The ratio of age of ‘A’ 5 years ago from now to the age of ‘B’ 5 years hence from now is 4 : 7. If the sum of the present age of ‘A’ and ‘B’ is 55 years, then find the age of ‘B’ 3 years hence from now.

      A 27 years Correct Answer Incorrect Answer
      B 33 years Correct Answer Incorrect Answer
      C 30 years Correct Answer Incorrect Answer
      D 36 years Correct Answer Incorrect Answer

      Solution

      Let the present ages of ‘A’ and ‘B’ be ‘p’ years and ‘q’ years respectively. Then, p + q = 55 Or, q = 55 − p ATQ, [{(p - 5)}{(q + 5)} = {4/7}] Or, 7(p − 5) = 4(q + 5) Or, 7p − 35 = 4q + 20 Or, 7p − 4q = 55 Or, 7p − 4(55 − p) = 55 Or, 7p − 220 + 4p = 55 Or, 11p = 275 Or, p = 25 Or, q = 55 − 25 = 30 Therefore, age of ‘B’ 3 years hence from now = 30 + 3 = 33 years

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