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      Question

      My grandfather’s age was seven times older to me

      14 years ago. He would be two times of my age seven years from now. Seven years ago, what was the ratio of the age to that of my grandfather?
      A 8:5 Correct Answer Incorrect Answer
      B 11:13 Correct Answer Incorrect Answer
      C 7:11 Correct Answer Incorrect Answer
      D 4:13 Correct Answer Incorrect Answer
      E 5:9 Correct Answer Incorrect Answer

      Solution

      Let my age 14 years ago be x years My grandfather’s age at that time = 7x years My present age = (x+ 14) years My grandfather’s present age = (7x+ 14) years 2(x+ 14 + 7) = (7x + 14 + 7) 2x + 42 = 7x + 21 5x = 21 x = 21/5 Seven years ago, ratio of ages => (x+14-7)/(7x+14-7) = (x+7)/(7x+7) => (21/5+7)/(7 × 21/5+7) = (56/5)/(182/5) = 56: 182 => 4:13

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