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Home Verbal Reasoning Problems on Ages Comments

  • Question
  • Mother was three times the age of her daughter 5 years ago. After 5 years, mother will be twice as old as her daughter. How old is the daughter today?


  • Options
  • A. 5 years
  • B. 10 years
  • C. 15 years
  • D. 20 years

  • Correct Answer
  • 15 years 

    Explanation

    Suppose the present age of daughter = P years
    and, the present age of mother = Q years
    According to questions,
    5 years ago , 3 × ( the present age of daughter - 5 ) = ( the present age of mother - 5 )
    3 (P ? 5) = (Q ? 5)
    ? 3P ? 15 = Q ? 5
    ? 3P ? Q = 10 .......(i)
    After five years , 2 × ( the present age of daughter + 5 ) = ( the present age of mother + 5 )
    2 (P + 5) = Q + 5
    ? 2P + 10 = Q + 5
    ? 2P ? Q = ?5 .......(ii)
    From equations (i) and (ii) , we get
    3P ? 2P = 10 ? (?5)
    ? P = 15 years
    Hence, the present age of daughter is 15 years .


  • Problems on Ages


    Search Results


    • 1. 
      2 years ago a mother was 4 times as old as her son. 6 years from now her age will become more than double her son's age by 10 years. What is the present ratio of their ages?

    • Options
    • A. 2 : 1
    • B. 38 : 11
    • C. 19 : 7
    • D. 3 : 1
    • Discuss
    • 2. 
      The age of a father is twice that of his son's at present age. After 5 years the sum of their ages will be 85. How old are they now?

    • Options
    • A. 40, 20
    • B. 46, 23
    • C. 60, 30
    • D. 50, 25
    • Discuss
    • 3. 
      A father was 12 times as old as his son 20 years back. Now he is twice as old as his son. What are their present ages?

    • Options
    • A. Father 44 and son 22
    • B. Father 55 and son 33
    • C. Father 66 and son 44
    • D. None of these
    • Discuss
    • 4. 
      Today is Vishal's birthday. One year from today he will be twice as old as he was 12 years ago. How old is Vishal today?

    • Options
    • A. 20 years
    • B. 22 years
    • C. 25 years
    • D. 27 years
    • Discuss
    • 5. 
      A father is twice his son's present age. How many years ago, was he three times his son's age, if his son's age is now 20 years?

    • Options
    • A. 8 years
    • B. 10 years
    • C. 12 years
    • D. 15 years
    • Discuss
    • 6. 
      Neela is now 3 times as old as her daughter Leela. Ten years back, Neela was 5 times as old as Leela. The age of Leela is

    • Options
    • A. 15
    • B. 25
    • C. 30
    • D. 20
    • Discuss
    • 7. 
      Amit was born 5 years before Rakesh, Rakesh is 3 years younger to Anil. If Amit is now 17 years old, how old is Anil?

    • Options
    • A. 8 years
    • B. 12 years
    • C. 15 years
    • D. 19 years
    • Discuss
    • 8. 
      The age of Ram is double as that of Shyam and half as that of Suresh. If the sum of their ages is 70, what is the age of Ram?

    • Options
    • A. 20
    • B. 30
    • C. 40
    • D. 10
    • Discuss
    • 9. 
      X is four years older than Y who is twice as old as Z. If the total ages of X, Y and Z be 34, how old is X?

    • Options
    • A. 8
    • B. 10
    • C. 12
    • D. 16
    • Discuss
    • 10. 
      Mani is double the age of Prabhu, Ramona is half the age of Prabhu. If Mani is sixty, find out the age of Ramona.

    • Options
    • A. 20
    • B. 15
    • C. 10
    • D. 24
    • Discuss


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