Aptitude - Problems on Ages - Discussion

If we will take Rohit's age I think it should be 3x (x+3).
If we will take Rohit's age as 1 it can be 4 only.

Correct me, If I am wrong.

Here is how 5:2 comes;

Initially it was 2.5:1.
To remove the decimal point,we need to multiply by 10 in the numerator and denominator also.
= 2.5/1 x10/10.
= 25/10 (on cancellation with 5, it becomes),
= 5:2.

How it's 16 years? Can anyone please explain?

Present age ratio F:S = 1:4
After 8 years(2.5:1) = 5:2.
1p = 8 years
5p = 40 years 2p =16.
Another 8 years later. 48:24 = 2:1.

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.

Some answers to your other doubts:

1. How 5/2 came? Ans: "Two and a half times" can be written as 2.5 or 5/2.

2. How 16 came? Ans: 8 Years + Further 8 Years = 16 years.

Have a nice day for all!

It should be 3x + 8 = 5/2 (x+8).

The right answer is 3.

At first it is;
1 : 4.

then;
2 : 5.

Here difference after 8 years is 1.
1 part = 8 years.

Again we increase 8 years;
3 : 6.

How ratio be calculated in this question? Please explain to me.

How (4x+16) / (x+16) is = 48/24? Explain please.

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..