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# Aptitude - Problems on Ages - Discussion

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"Hold a true friend with both hands."
- (Proverb)
1.

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 1 times 2
[C].
 2 3 times 4
[D]. 3 times

Explanation:

Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.

 (4x + 8) = 5 (x + 8) 2

8x + 16 = 5x + 40

3x = 24

x = 8.

 Hence, required ratio = (4x + 16) = 48 = 2. (x + 16) 24

 Prakash Chile said: (Tue, Jun 22, 2010 07:03:41 AM) Father is aged three times more than his son Ronit if Ronit's age = x then Father's age = 3x But Explanation Father's age = 4x How is it possible?

 Krithika said: (Sun, Jun 27, 2010 01:09:35 PM) It is explained 3 times more than his son. so 4x.

 Vinoth said: (Fri, Jul 2, 2010 12:23:13 PM) How 4x ?

 Sundar said: (Tue, Jul 6, 2010 03:18:36 AM) Hi Guys! It is 4x not 3x. (As Krithika said). If the given statement is "Father is aged three times of his son Ronit's age", then it will be 3x. But, the given statement is "Father is aged three times more than his son Ronit". So, it should be 4x. Have a nice day for all!

 Arru said: (Sun, Jul 18, 2010 07:12:01 AM) How you got 5/2 (x+8)?

 Mahesh said: (Wed, Jul 28, 2010 11:46:58 AM) It is specified in the problem father age two and a half times of ronit's age.

 Shantha said: (Fri, Aug 13, 2010 12:50:13 AM) How you got 5/2(x+8)?

 Poonam said: (Fri, Aug 13, 2010 12:16:54 PM) How 5/2?

 Poonam said: (Fri, Aug 13, 2010 12:23:18 PM) How the ratio b 4x+16\x+8 ? It should be 4x+8\x+8 is correct

 Kanwal,Akhil said: (Tue, Aug 17, 2010 02:06:20 AM) Kritika, Sundar are absolutely correct. Read the statements correctly.

 Srikanth said: (Fri, Sep 3, 2010 10:40:37 AM) 5/2 (x+8) ? Can anybody please explain me why this expression has used?.

 Jwala said: (Mon, Sep 6, 2010 10:16:25 PM) (4x+8) is father's age. 2 and half is written as 5/2...i.e., (2 1/2 = ((2*2) +1)/2 => 5/2) (mixed fraction is converted into proper fraction). (x+8) is ronit's age.

 Sheela said: (Wed, Sep 8, 2010 11:52:53 PM) Its 3x + x = 4x. Because its 3 times more not only 3 times.

 Thara said: (Fri, Sep 10, 2010 12:06:37 PM) I can't understand this question how 5/2 came?

 Meera said: (Thu, Sep 16, 2010 01:10:51 AM) Hi, Please explain the last step of ratio.

 Preethi said: (Tue, Sep 28, 2010 06:04:10 AM) How you got ratio (4x+16) / (x+16) ?

 Ratikant said: (Tue, Sep 28, 2010 06:47:38 AM) Please explain the last step of ratio.

 Arun said: (Thu, Nov 11, 2010 09:49:34 AM) 4x+16,here 4x represents father's age and 16 refers years 8year and further 8 years

 Nandish said: (Sat, Nov 20, 2010 11:17:54 AM) (4x + 8) = 5 (x + 8) 2 8x + 16 = 5x + 40 how this 16 came

 Shanmu said: (Fri, Nov 26, 2010 03:30:38 AM) How you got ratio (4x+16) / (x+16) ? can u explain the last step of ratio.

 Vasu said: (Fri, Dec 3, 2010 08:02:29 PM) How this 8X+16 and 5x+40 came?

 Vaishu said: (Tue, Dec 7, 2010 02:18:43 AM) Consider son's age as 'x' so they have said, Father is aged three times more than his son as per the statement, x+3x after 8ys ,he would be 2 and a half times of his son so, x+3x+8=x+8 4x+8=x+8 (4x+8)=5/2(x+8) we get, 8x+16=5x+40 => 3x=24 x=8 after further 8 years, so add 8 to the equation 4x+8+8=x+8+8 4x+16=x+16 so the ratio is, (4x+16)/(x+16) = 48/24 => 2years Got it friends?

 Harsh said: (Sat, Dec 11, 2010 12:38:09 PM) As father age and his son age ratio decrease by one and half in 8 year. In another 8 year in will decrease one and half from two and half times.

 Jaz said: (Wed, Dec 15, 2010 12:41:12 PM) @vaishu so, x+3x+8=x+8 this step am nt getting .. (4x+8)=5/2(x+8) dis also...

 Affrin said: (Thu, Dec 16, 2010 12:15:33 AM) THANKS. Vaishu for your explanation.

 Affrin said: (Thu, Dec 16, 2010 12:23:03 AM) (4x+8)=5/2(x+8) => 8x+16 = 5x+40 bcoz : cross multiply : 2(4x+8) = 8x+16 straight multiply: 5(x+8) = 5x+40 Everyone clear.........

 Sajitha said: (Sun, Dec 19, 2010 12:22:09 AM) Thank you very much affrin.

 Vivek said: (Thu, Dec 30, 2010 02:06:31 PM) 2 1/2 means (2*2+1)/2 so dats 5/2

 Abhiruchi said: (Tue, Jan 4, 2011 01:20:25 AM) How (4x+16) / (x+16) is = 48/24 ? Please explain.

 Gauri said: (Tue, Jan 4, 2011 10:44:33 PM) thanks vaishu, for solving the problem for the last ratio

 Manu said: (Fri, Jan 7, 2011 07:15:23 AM) I want details answer for 4x+16/x+16 and how did we get answer 48/24 please. Reply me.

 Nagarjun said: (Fri, Jan 7, 2011 11:15:08 PM) Thank you vaishu. I am satisfied after reading your answer.

 Nayana said: (Tue, Jan 11, 2011 06:05:56 PM) Hi vaishu, I didn't get the last step why did you add 8 to that equation 4x+8 and x+8. Can you please explain me that last step?

 Mahananda said: (Fri, Jan 14, 2011 09:59:59 AM) Hi vaishu, I didn't get the step of adding 8 to 4x+8 &x+8. so pls explain me

 Parul said: (Fri, Jan 21, 2011 04:22:02 AM) How (x+8) ?

 M.Karthik said: (Thu, Jan 27, 2011 05:59:24 AM) How (4x+16) / (x+16) is = 48/24. Please explain.

 Ashu said: (Fri, Jan 28, 2011 04:33:14 AM) Although, I got the solution but cann't we add 16 in the second step, as the fater age is increased by 16 I. E 8 and further 8 years.

 Dinesh Reddy said: (Sat, Jan 29, 2011 12:41:58 PM) Ya 4x is absolutely right.

 Uttam said: (Sat, Jan 29, 2011 11:03:48 PM) Age of son=x then, (x+3x)=4x after 8 years (4x+8)=2.5(x+8) 8x+16=5x+40 x=8 after 8 years (4x+16)=y(x+16) wkt x=8 s0, y=(32+16)/(8+16) y=2.

 Rudra said: (Thu, Feb 17, 2011 11:00:47 AM) Thanx vaishu for your answer of the last step

 Vinod said: (Fri, Mar 4, 2011 05:18:26 AM) Thank you vaishu.

 Dimple said: (Sat, Mar 26, 2011 05:17:47 AM) Acc to me 5/2 multiplied on fathers side?

 Pari said: (Thu, Mar 31, 2011 03:19:13 AM) Can anyone clear how d equation of(4x+16)/(x+16) is = 48/24 I mean from where these values 48/24 are coming... plz clarify this point only

 Pari said: (Thu, Mar 31, 2011 03:30:28 AM) Ohhh got it ...we are to put d value of x i.e 8 in d equation...:) = (4x+16)/(x+16) = (4x8+16)/(8x16) = 48/24 = 2 times :)

 Shivani said: (Wed, Apr 13, 2011 06:34:51 AM) How 5/2 come?

 Harvinder Singh said: (Fri, Apr 15, 2011 01:54:46 AM) Two and half mean.. 2+1/2= 2/1+1/2=(2*2+1)/2=(4+1)/2=5/2

 Minal said: (Wed, Apr 27, 2011 11:00:04 AM) Hi, See two and half means 2*1/2 So 2*2+1 = 5/2.

 Amrutha said: (Fri, Apr 29, 2011 12:44:43 AM) Rohit age is x and his father age is 3x ofter 8 years rohit age is 5/2(x+8) and his father age is 3x+8 therefore 3x+8=5/2(x+8) 6x+16=5x+40 x=24 Rohit age is 24 then his father age is 72 year ofter 8 years It becomes 32 and 80 it is exactly 2 1/2 times of rohit age so answer is 2 times.

 Ezhil Arasan Scad Cet said: (Tue, May 3, 2011 12:31:24 PM) Guess whatz the wrong here: 1st father age is 24 and Rohit age is 8... atter 8 years: father age is shd b 24+8=32 and Rohit age is 8+8=16... But in sum itz given after 8 years his age is 2.5 times>then Rohit age... But here 32 nd 16 two times only greater... Why?

 Preethi said: (Wed, May 4, 2011 01:36:56 AM) Thank you vaisu & uttam for your explainations.

 Gautam Negi said: (Fri, May 6, 2011 02:59:04 AM) Thanks a lot guys.

 Savitha said: (Tue, May 17, 2011 08:18:51 AM) We already add 8 years....to get the x value then Why we add 16 yrs in second step.

 Rohan said: (Fri, May 20, 2011 07:41:55 AM) Answer to 5/2(x+8) ...in example its is written that After 8 years, he would be two and a half times of Ronit's age So two and a half is 2 1/2, now 2x2 is 4 and 4+1 is 5 so its 5/2..

 Cosmicguypradeep said: (Thu, May 26, 2011 04:09:14 PM) Simple let the age of the son be "x" father is aged 3 times more than his son so x+3x=4x after 8 years, 4x+8=x+8....equation (1) age will be 2 and half years i.e 2 1/2 = 5/2, 4x+8=5/2(x+8) ==> 8x+16=5x+40 ==> x=8 after further 8 years; 4x+8+8=?(x+8+8) 4x+16=?(X+16) ==> ?=4x+16/x+16...equation (2) ==> substitute x=8 in eqution (2), u will get ?=2

 Arjun said: (Fri, Jun 3, 2011 03:15:01 AM) @Cosmicguypradeep Let the age of the son be "x" father is aged 3 times more than his son so x+3x=4x }(i agree this part) after 8 years, 4x+8=x+8....equation (1)( doubt here q1: how X=4X that is how father age is equal to son age )

 Stella said: (Wed, Jun 15, 2011 01:07:29 AM) Thank you friends for your explanations.

 Ajay said: (Tue, Jun 28, 2011 03:41:57 AM) Can anyone say how the term 5/2(x=8)comes in the 2nd part please ?

 Pankaj said: (Wed, Jul 6, 2011 04:29:14 AM) As the in statement state that fathers age would be 2 and 1/2 of the ronits ages. Ronits age is x, his fathers age is x+3x=4x, after 8 yaers (4x+8) = 2*1/2(x+8) multiply 2*1/2 i.e (2*2+1)/2=5/2 4x+8 =5/2(x+8)

 Ashwini said: (Sat, Jul 23, 2011 07:52:09 PM) Thanks for explanation.

 Shraddha said: (Sun, Jul 31, 2011 01:42:01 PM) As in question, fathers age is three times more than son's age. If we take sons age as x than father's age wll 3x how that 4x?

 Subrata Hazra said: (Mon, Aug 1, 2011 04:49:42 PM) It is very much clear in the question first line that father is aged three times more than his son Ronit. So simple is that if his sons age -x , then his age is x+3x = 4x

 Ravee said: (Tue, Aug 9, 2011 12:21:41 AM) Hi frndz my solution takes much lenghthy, but have tried to give a clear explanation Let Father=F & Rohith=R consider R's age as "X" Now F's age will three times morethan R's age, so it'll be X+3X=4X Now in 2011 F's age is 4X and R's age is X, but after 8 years say 2019 what is the F's age? 4X+8 and R's age X+8 (add 8 to F' and R) As mentioned in the statement the age of F's is two and half(2+1/2) times ,so it will be 5/2. STEP1: Now on LHS side it is F's age 4X+8 and RHs it is R's age X+8 multiple of 5/2 as 4X+8=x+8(5/2) => 2(4X+8)=5(X+8) => 8X+16=5X+40 => 8X-5X=40-16 => 3X=24 => X=24/3 Therefore X=8 STEP2: again after 8 years (4X+8+8)=(X+8+8) =>4x+16=x+16 =>4x+16/x+16=? we have X=8 So, 4*8+16/8+16=? 32+16/24=? 48/24=? the ans is "2" Hope u got it..

 Ravee said: (Tue, Aug 9, 2011 12:33:39 AM) Hi Sharaddha here sum explansn to your doubt. As you said Father's age is three times then son's age. Here x or 1x both are same, I think you done this way. "X", to this three times as 1x, 2x, 3x. This way u'll get 3x, but we know X and 1X are same so. To X (or 1X both are same) it is three times as 2x, 3x, 4x. Now the F's age is X+3X=4X.

 Shweta Chaubey said: (Wed, Aug 10, 2011 07:58:11 PM) Son present age is =x than father's present age is=more than 3 times of son age =x+3x According to the question, after 8 years.. x+8=x+3x+8 x+8=4x+8 and father will be 5/2 greater than son 5/2(x+8)=4x+8 5x+40=8x+16 3x=24 x=8 ratio after 8 years 4x+8+8/x+8+8=6/3=2

 Durgesh said: (Thu, Aug 11, 2011 07:35:51 PM) Hi friends, Let son"s age is =1 then father age=4 which means ratio between father to son= 4 :1 (say f: s)........[1] after 8 years this ratio = 2.5 : 1 ( f :s) = 5:2...................[2] but one thing is clear that difference betwwen father age and son age will always be same. In eq. [1] difference is 3 and in [2] is 3 as it shuld be. Now take a look at fther age .............it was 4 and after 8 years it is 5 ...it means in our values I n the ratio 1=8, so ........................5=40(father age after 8 years) and.......................2=16(son age after 8 years ) Hence after further 8 years later father age =40+8 =48 years and ................. son age = 16+8= 24 So ratio = 48:24 =2:1

 Karan said: (Tue, Aug 23, 2011 03:04:41 PM) @Ravee superb.

 Shaila said: (Wed, Aug 24, 2011 09:22:22 PM) Ravee too good explanation.

 Manoj said: (Thu, Aug 25, 2011 06:41:36 PM) @durgesh. Your explanation is very good. Nice one.

 Jagadeesh said: (Fri, Aug 26, 2011 10:47:22 AM) Thanks vaishu I understood your explanation clearly.

 Chandu said: (Mon, Sep 5, 2011 02:09:45 PM) THANKQ. Vaishu for your explanation.

 Manohar said: (Tue, Sep 6, 2011 08:19:57 AM) Try this way now the ratio is 4: 1 8 (4x2)=8 8-5=3x=8(5-2) 5 :2 5x1)=5 x=8 32 8 after 8 yrs 40 16 further 8 yrs 48 24 2;1

 Parveen said: (Thu, Sep 22, 2011 03:43:23 PM) Is thare any shortcut to solve this in seconds.

 Parveen said: (Thu, Sep 22, 2011 03:54:11 PM) It is very helpful.

 Vineshgujjari said: (Sun, Sep 25, 2011 06:21:27 PM) To all, 1)let ronit age be-> x, 2)father age be-> 3x+x,(as it is said 3 times more than ronit so 3x+x) 3)now it is said dat after 8 years,the father age will be two and half times ronit that is father+8=5/2(ronit+8) 3x+x+8=5/2(x+8) (4x+8)2=5(x+8) 8x+16=5x+40 3x=24 x=8.------(1) 4)again after 8 yrs, x+3x+8+8=y(x+8+8) 4x+16=y(x+16) now put x=8(from 1) 4*8+16=y(8+16) 32+16=y(24) 48=y(24) Y=2.(hence solved) Hope you all understand...

 Karuna said: (Wed, Sep 28, 2011 12:03:03 PM) (4x+8)=5/2(x+8) please can u explain me how this step came... means, father age was 4x sun age was x next after 8 years, father age was 4x+8 sun age was x+8 Now he would be 2 and half times more than his son right then, Here i didn't get...

 Vasa said: (Wed, Oct 19, 2011 12:36:38 PM) The sum of ages of family members (both children and parents) is 360 years.The total ages of children and parents are in the ratio 2:1 and the ages of wife and husband are in the ratio 5:7.What will be the age of husband? a)60 b)77 c)75 d)70 Answer : d) 70 Solution : Sum of ages is 360 years.The ratio of children and parents ages is 2:1. Total age of parents = 360 x 1 / 3 = 120 years Ratio of wife and husband age is 5:7. Therefore, the age of husband = 120 x 7 / 12 = 70 Hence the age of husband is 70 years. any one explain me????? plz how it came.

 Suganya.S said: (Wed, Nov 23, 2011 02:56:16 PM) How 5/2(x+8) please explain?

 Basava said: (Wed, Nov 23, 2011 10:24:33 PM) In question it is mentioned that After 8 years he(means father) would be two and a half times (5/2)of Ronit's age....

 Leenus said: (Mon, Jan 23, 2012 06:15:46 PM) I can't understand the last step can you please explain it.

 Chithra said: (Mon, Feb 13, 2012 03:15:19 PM) Hai Leenus, let us assume son's current age is x, fatther's age is 3 times more than that of son, so it will be x+3x=4x. So present age of son is x and father is 4x. We want to find the ratio of ages after 16 years (8 and further 8, total 16). So after 16 years fathers will be 4x+16 and son's will be x+16, hence that ratio came. Now have alook at it, hope you will get that.

 Lovely said: (Thu, Feb 16, 2012 05:24:35 PM) I did not get how it became x+3x?

 Naresh said: (Mon, Mar 5, 2012 04:13:55 PM) Lovely please read question carefully.......... "At present age of father is (3)times more than his son" (X=3) "after 8 years age of father is (2 1/2)times more than his son" (X= 2 1/2) "AFTER 8 YEARS WHAT IS THE SONS AGE (i.e here, age of the son will be reducing half,gap of 8 years)" So(X=2) [1years->3times 8years->2 1/2times 16years->2times 24years->1 1/2times 32years->1times......................]

 Kavya said: (Mon, Apr 2, 2012 07:08:36 PM) I want details answer for 4x+16/x+16 and how did we get answer 48/24 please. Reply me.

 Chinmay said: (Sun, Apr 15, 2012 10:24:18 AM) Hey we got the x value is 8. So just put the value of 8 in place of x and find out the ratio, you definitely get the answer.

 Roja said: (Tue, Jun 5, 2012 08:48:10 PM) Thing logically friends first 8 years it decreases to off of next 8 years so. The answer is 2.

 Indu said: (Mon, Jul 9, 2012 06:29:30 PM) If father's present age 37 year then what's the age of son ? please help me.

 Sara Shree said: (Sat, Aug 25, 2012 04:20:29 PM) I think we should take father's age be y. So x+8 is equal to (3y+8)5/2

 Hmdeep said: (Thu, Aug 30, 2012 10:46:17 PM) Thanks Jwala.

 Adhi said: (Mon, Sep 10, 2012 12:17:01 PM) Is there any formula this problem.

 Akruti said: (Sun, Nov 18, 2012 05:26:35 PM) Father age is 3 times in starting. After 8 year father age will be 2 and half times of son. Means after 8 year father age decrease 1/2 times. i.e. 3-(1/2)=2(1/2) So, after 16 year father age will be= 2(1/2)-(1/2) = 2 times of son.

 Annapoorna said: (Sat, Jan 5, 2013 06:56:20 PM) When it is "three times more" why should we take (3x+x)? It can also be (3x+2x) or (3x+.5x)?

 Laxman said: (Wed, Mar 20, 2013 05:01:54 PM) Hi @Annapoorna, It is supposed of x years for son and in question father is more than 3 years of son so that it is of (3x+x). Thanks.

 Nihal said: (Sat, Mar 23, 2013 11:12:06 PM) What is the meaning of last line of Question? And how it is resolved?

 Bhoomika said: (Fri, Apr 19, 2013 12:43:01 PM) How do we get (4x + 16) divide by (x + 16) instead of (4x+16)=(x+16)?

 Prachi said: (Sun, May 5, 2013 04:15:28 AM) There are times when we take x & y both variable. So how to identify whether we have to use 1 variable or both?

 Vinay Kumar Jadhav said: (Fri, May 17, 2013 09:59:08 AM) For this sum answer should be option(B) which is 5/2 in fraction and in mixed fraction which is 2 1/2.

 Vroom said: (Fri, May 17, 2013 03:28:19 PM) Two and half times means : 2.5. Multiply both numerator and denominator by 2. Thus, 2.5 x 2 / 1 x 2. 5/2 or 2.5.

 Newbie said: (Thu, May 30, 2013 06:19:21 PM) It doesn't make sense why ppl take the fathers age as 4X just becos its says 'times more' . what if the son's age is 'times less' of the father? :D So I made a calculation based on logic and it comes to this son's age = x. Father's age = X x 3 = 3X. After 8 years father is 2 and half years older than his son, so if we add 8 years to the fathers age it will be equal to 2 and a half times of the son's age. i.e 3X + 8 = 2 and a half times of X. 3X + 8 = 2 1/2 x X. From the equation X = 16. Now the fathers initial age = 3X. = 3 x 16 (X=16). = 52. After 16 years (8+8 years) father will be, = 52 + 16. = 64. In the same way the son after 16 years will be, = X + 16. = 16 + 16 = 32. Hence the difference of their age will be, 64 divided by 32 = 64 / 32. = 2. So the Father will be 2 times older than the son in 16 years :D.

 Lillyane67 said: (Mon, Jun 3, 2013 05:00:13 PM) And as @newbie said, if its correct then I am failing to understand that why is 3x + 8 = 2.5 x ? Shouldn't it be 3x + 8 = 2.5 (x + 8), because even the son's age should have been added to 8 right ?

 Nivetha said: (Tue, Jun 11, 2013 05:49:35 AM) Fathers age is 3 times more than his son 4x. But after getting full stop considering and comparing other sums I can understand like this (x+8). How we put (4x+8) in fathers age?