๐Ÿ“ข Too many exams? Donโ€™t know which one suits you best? Book Your Free Expert ๐Ÿ‘‰ call Now!

  • google app store apple app store
  • โœ–

      Question

      Four years ago, the ages of the father and his son were

      in the ratio 7:2. Four years hence, the ages of the father and his son will be in the ratio 9:4. After how many years will the father's age be twice the age of his son?
      A 12 Correct Answer Incorrect Answer
      B 8 Correct Answer Incorrect Answer
      C 10 Correct Answer Incorrect Answer
      D 9 Correct Answer Incorrect Answer

      Solution

      Let the common ratio be x. Hence, four years ago, the ages of the father and his son were 7x and 2x years. According to the question, (7x+4+4)/ (2x + 4 + 4) = 9:4 28x+ 32 = 18x + 72 10x = 40 x=4 Present age Father = 7x + 4 = 7 x 4 + 4 = 32 Son = 2x + 4 = 2 x 4 + 4 = 12 After P years the father's age will be twice the age of his son. According to the question, 32 + P = 2 x (12 + P) P = 8 year

      Practice Next

      Relevant for Exams:

      ask-question