Aptitude - Problems on Ages - Discussion

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..

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

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?

Thanks for explanation.

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)

Can anyone say how the term 5/2(x=8)comes in the 2nd part please ?

Thank you friends for your explanations.

@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 )

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

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..