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      Question

      The ratio of age of ‘X’ 3 years hence from now to

      the age of ‘Y’ 7 years ago from now is 5 : 4. If the sum of their present ages is 49 years, then find the present age of ‘Y’.
      A 21 years Correct Answer Incorrect Answer
      B 27 years Correct Answer Incorrect Answer
      C 25 years Correct Answer Incorrect Answer
      D 29 years Correct Answer Incorrect Answer

      Solution

      Let the present ages of ‘X’ and ‘Y’ be ‘p’ years and ‘q’ years respectively. Then,
      p + q = 49 Or,
      q = 49 − p ATQ, [{(p + 3)}/{(q - 7)} = {5/4}
      ] Or,
      4(p + 3) = 5(q − 7) Or,
      4p + 12 = 5q − 35 Or,
      4p − 5q = −47 Or,
      4p − 5(49 − p) = −47 Or,
      4p − 245 + 5p = −47 Or,
      9p = 198 Or,
      p = 22 Or, q = 49 − 22 = 27 years

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