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Home Aptitude Problems on Ages Comments

  • Question
  • The sum of the ages of a father and son is 45 years. Five years ago the product of their ages was 4 times the father's age at that time. the present ages of the father's and son respectively are?


  • Options
  • A. 25 years, 10 years
  • B. 36 years, 9 years
  • C. 39 years, 6 years
  • D. None of these

  • Correct Answer
  • 36 years, 9 years 

    Explanation

    Let the present age of the father and son be x years and (45 - x)years respectively.
    Then, (x - 5)(45 - x - 5) = 4(x - 5)
    ? -x2 + 41x - 180 = 0
    ? (x - 5)(x - 36) = 0
    ? x = 36
    ? The present ages of father and son are 36 years and 9 years respectively.


  • Problems on Ages


    Search Results


    • 1. 
      The age of a man is 4 times that of his son. Five years ago, the man was nine times as old as his son was at that time. The present age of the man is?

    • Options
    • A. 24 years
    • B. 32 years
    • C. 40 years
    • D. 44 years
    • Discuss
    • 2. 
      Five years ago Vinay's age was one-third of the age of Vikas and now Vinay's age is 17 years. What is the present age of Vikas?

    • Options
    • A. 9 years
    • B. 36 years
    • C. 41 years
    • D. 51 years
    • Discuss
    • 3. 
      Pushpa is twice as old as Rita was two years ago. If the difference between their ages be 2 years, how old is pushpa today?

    • Options
    • A. 6 years
    • B. 8 years
    • C. 10 years
    • D. 12 years
    • Discuss
    • 4. 
      10 years ago, Chandravati's mother was 4 times older than her daughter. After 10 years, the mother will be twice older than the daughter. The present age of Chandravati is?

    • Options
    • A. 5 years
    • B. 10 years
    • C. 20 years
    • D. 30 years
    • Discuss
    • 5. 
      A mother is 25 years older than her daughter. Five years ago, the age of the mother was 6 time the age of the daughter. What is the present age of mother?

    • Options
    • A. 25 years
    • B. 29 years
    • C. 32 years
    • D. 35 years
    • Discuss
    • 6. 
      Shyam's age is 3 times that of Ramesh. After 12 years, Shyam's age will be double the age of Ramesh. Shyam's present age is?

    • Options
    • A. 27 years
    • B. 32 years
    • C. 36 years
    • D. 40 years
    • Discuss
    • 7. 
      After 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older then B, the present age of B is?

    • Options
    • A. 19 years
    • B. 29 years
    • C. 39 years
    • D. 49 years
    • Discuss
    • 8. 
      The sum of the ages of a son and father is 56 years. After four years, the age of the father will be three times that of the son. their present ages respectively are?

    • Options
    • A. 12 years, 44 years
    • B. 16 years, 42 years
    • C. 16 years, 48 years
    • D. 18 years, 36 years
    • Discuss
    • 9. 
      Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4. What will be the total of their present ages?

    • Options
    • A. 8 years
    • B. 20 years
    • C. 35 years
    • D. 45 years
    • Discuss
    • 10. 
      Jayesh is as much younger to Anil as he is older to prasant. If the sum of the ages of Anil and prasant is 48 years. What is the age of Jayesh?

    • Options
    • A. 20 years
    • B. 24 years
    • C. 30 years
    • D. Cannot be determined
    • Discuss


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