Aptitude - Problems on Ages - Discussion

Is thare any shortcut to solve this in seconds.

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

THANKQ. Vaishu for your explanation.

Thanks vaishu I understood your explanation clearly.

@durgesh. Your explanation is very good. Nice one.

Ravee too good explanation.

@Ravee superb.

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

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

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.