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Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

A. 2 times

B. $$2\frac{1}{2}\,{\text{times}}$$

C. $$2\frac{3}{4}\,{\text{times}}$$

D. 3 times

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{Let}}\,{\text{Ronit's}}\,{\text{present}}\,{\text{age}}\,{\text{be}}\,x\,{\text{years}}. \cr & {\text{Then,}}\,{\text{father's}}\,{\text{present}}\,{\text{age}}\, \cr & = \left( {x + 3x} \right)\,{\text{years}} \cr & = 4x\,{\text{years}} \cr & \therefore \left( {4x + 8} \right) = \frac{5}{2}\left( {x + 8} \right) \cr & \Rightarrow 8x + 16 = 5x + 40 \cr & \Rightarrow 3x = 24 \cr & \Rightarrow x = 8 \cr & {\text{Hence,}}\,{\text{required}}\,{\text{times}} \cr & = \frac{{ {4x + 16} }}{{ {x + 16} }} \cr & = \frac{{48}}{{24}} \cr & = 2 \cr} $$

This Question Belongs to Arithmetic Ability >> Problems On Ages

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Comments ( 17 )

  1. Souradeep Hazra
    Souradeep Hazra :
    2 years ago

    Answer is 2.2 or 2 (1/5)

  2. Nitish Kumar
    Nitish Kumar :
    2 years ago

    Question is clearly given that Father is aged three times more than his son Ronit.
    Here,
    Father is not three times of his son Ronit, Question given three times more than his son Ronit.
    Let,
    Ronit (Present) age = x
    if Father is three times of his son Ronit
    Then F =3x
    But
    Question says three times more than his son Ronit.
    As, Ronit (Present) age = x
    So Father age became F=(x+3x)
    (Because father is more than his son Ronit, Not Three times of his son)
    ### Question Read carefully

  3. Nadira Kalam
    Nadira Kalam :
    2 years ago

    Let Ronit's present age is x
    Then father's present age is 3x
    According to the question after 8years
    (3x+8)=2.5(x+8)
    3x-2.5x=20-8
    .5x =12
    5/10x=12
    X=12×10/5
    X=24
    Ronit's present age 24
    His father's present age
    3x=3×24
    =72
    Again after 8years Ronit's age will be 24+8=32
    Ronit father's age 72+8=80 which is 2.5 times than his son


    Answer :option( B)

  4. Talin Hangu
    Talin Hangu :
    3 years ago

    How 16 of 4x+16 comes

  5. Er. SUTHERSON
    Er. SUTHERSON :
    3 years ago

    How 4x came

  6. Swapnil Mishra
    Swapnil Mishra :
    3 years ago

    Let the Father's present age be F.
    Let Rohit's Present age be R.
    As given in the question (Father is aged three times more than his son Ronit).
    So, The relation will become:

    F=3R ----- (i)

    After 8 years,
    Father's Age= F+8
    Rohit's Age= R+8

    As given in the question (After 8 years, he would be two and a half times of Ronit's age.)

    So, Now Relation will become:

    (F+8)= 2.5*(R+8) ---- (ii)

    Putting the value of F from Eqn. (i) in Eqn. (ii):

    (3R+8)= 2.5*(R+8)
    3R+8=2.5R+2.5*8
    3R-2.5R=2.5*8-8
    0.5R=8*(2.5-1)
    0.5R=8*1.5
    R=8*3
    R=24
    So putting the value of R=24 in Eqn (i), we get
    F=3*24=72

    According to the question(After further 8 years, how many times would he be of Ronit's age?):

    So 8+8 years=16 years

    Fathers age after 16 years= 88
    Ronit's age after 16 years = 40

    So, (Father's age/Son's age) = 88/40=2.2
    Therefore fathers age is 2.2 times Ronit's age.















  7. J. H
    J. H :
    3 years ago

    from where do we get 4x+16 and x+16

  8. Deblina Roy
    Deblina Roy :
    3 years ago

    after you found out the son's and his father's age 8 , 32 years, then you need to find their age ratio
    so 32+16/8+16= 2
    here 16 years means 8 years +8 years

  9. Surya Shakti
    Surya Shakti :
    4 years ago

    Ratio of father and Ronit's present age = 4:1
    Ratio of father and Ronit's after 8 years= 5:2
    So, difference of father's present age and age after 8 yrs = 5-4 = 1
    Now 1 part = 8 yrs
    Then father age 8 yrs hence = 8×5 = 40
    And Ronit's age 8 yrs hence =8×2= 16
    Their age after further 8 yrs = 48 and 24 respectively
    I.e. father is 2 times of Ronit's age.

  10. Examveda
    Examveda :
    4 years ago

    Hello Guys,
    Father age is 3 time more than son age, not three times of son age. Kindly read question carefully

  11. ANKIT ANKUR
    ANKIT ANKUR :
    4 years ago

    Answer is wrong.father age is 3 times ronit age ie 3x not x+3x

  12. Vedamurthy Vedu
    Vedamurthy Vedu :
    4 years ago

    3times means 3x but how to 4x comes.. Ans is wrong

  13. Miko Ahphu
    Miko Ahphu :
    5 years ago

    How to calculate the required ratio
    Plesae

  14. Sandeep Gurjar
    Sandeep Gurjar :
    5 years ago

    i am confused in Father=(x+3x);
    que. says that Father is three time more then Ronit age so there equation should be F=3x;

    please clarify fast because My Exam will be tomorrow Morning..

  15. Examveda
    Examveda :
    6 years ago

    x = 8
    (4x+16) / (x+16) = (4*8 + 16) / (8 +16) = 48/24 = 2

  16. Tashi Pem
    Tashi Pem :
    6 years ago

    Can you please simplify the equation 4x+16/x+16

  17. Ananth Bala
    Ananth Bala :
    6 years ago

    how to calculate required ratio and how it becomes 4x+16/x+16

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