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Home Verbal Reasoning Problems on Ages See What Others Are Saying!
  • Question
  • The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. What are their present ages?


  • Options
  • A. 35 yeaas, 10 years
  • B. 36 years, 9 years
  • C. 37 years, 8 years
  • D. 39 years, 6 years

  • Correct Answer
  • 36 years, 9 years 

    Explanation

    Lt us assume the present age of father is P and son age is Q.
    According to question,
    P + Q = 45.................. (1)
    Five years ago, the father age = P - 5
    Five years ago, the son age = Q - 5
    According to question,
    Five years ago, the product of their ages was four times the father's age at that time.
    (P - 5) (Q - 5) = 4 (P - 5)
    PQ - 5P - 5Q + 25 = 4P - 20
    PQ - 5P - 5Q + 25 - 4P + 20 = 0
    ? PQ - 9P - 5Q + 45 = 0
    ? P(Q - 9) - 5(Q - 9) = 0
    ? (Q - 9) (P - 5) = 0
    ? (Q - 9) = 0 or (P - 5) = 0
    ? Q = 9 or P = 5
    Put the vale of Q in equation (1), we will get.
    if Q = 9 then P = 45 - 9 = 36 which is matched our answer.

    If P = 5 then Q = 45 - 5 = 40 years which is not match our answer.

    Method 2
    Let the present ages of father and his son be x and (45 - x) years respectively;
    then according to question,
    (x - 5) (45 - x - 5) = 4 (45 - x -5)
    ? x - 5 = 4
    ? x = 9
    Now, Father's age = 45 - x = 45 - 9 = 36 years


  • More questions

    • 1. 
      NA

    • Options
    • A. 1
    • B. 9
    • C. 48
    • D. 16
    • Discuss
    • 2. Find the odd one out:

    • Options
    • A. Football
    • B. Kho-Kho
    • C. Hockey
    • D. Carom
    • Discuss
    • 3. Find the odd one out:

    • Options
    • A. 1593
    • B. 3781
    • C. 7359
    • D. 9175
    • Discuss
    • 4. 
      Poor : Money

    • Options
    • A. Weak : Bold
    • B. Bold : Dark
    • C. Strong : Body
    • D. Weak : Strength
    • Discuss
    • 5.  Statements: All the books are pencils. No pencil is eraser.

      Conclusions:

      1. All the pencils are books.
      2. Some erasers are books.
      3. No book is eraser.
      4. Some books are erasers.


    • Options
    • A. Only (3)
    • B. Only (1) and (3)
    • C. Only (1) and (2)
    • D. Only (2) and (3)
    • E. Only (3) and (4)
    • Discuss
    • 6. 
      NA

    • Options
    • A. Fingers
    • B. Hands
    • C. Ears
    • D. Eyes
    • Discuss
    • 7. 
      If the expression E < J ? H > Z'. 'H ? Y' and 'E > F' true. Which of the following conclusions will be definitely false?

    • Options
    • A. F < Y
    • B. Y > E
    • C. F < H
    • D. J ? Y
    • Discuss
    • 8. 
      Brain : Neurology

    • Options
    • A. Biology : Animals
    • B. Hydrology : water
    • C. Body : physiology
    • D. Entomology : plants
    • Discuss
    • 9. 
      Which two people cannot be a part of the same team?

    • Options
    • A. I and J
    • B. A and D
    • C. B and D
    • D. A and C
    • Discuss
    • 10. 
      In H + I ÷ L, how is L related to H?

    • Options
    • A. Brother
    • B. Sister
    • C. Cousin
    • D. brother-in-law
    • Discuss


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