Aptitude - Problems on Ages - Discussion

Let Ronit's age = x.

So father's age will be (x+3x), (Let suppose you have sister who is 1 year younger than you then after 20 year your age will be 21 (Your sister age + 20 yr) = your age. So same in this question father age will be x+3x.

Now after 8 years mean rule no.2 (If x is current age then n year later age will be (x+n)).

Father's age will be (4x+8) and Ronit's age will be (x+8).

Now come to question that after 8 years father's age will be 5/2 times of Ronit's age.

So F age = 5/2 times of Ronit's age.

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

So by this we get x = 8.

Now we have to find after 8 year.

= 4x+8+8 = y(x+8+8).

So by solving this y = 2.

Thank you :).

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 8 years, 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.
=> 2 years.

Got it friends. Its simple?

@Seema.

If still you are not understanding you can put value of x in equation of last part of the question.

Hi @Seema.

Here BODMAS rules are applied, where we solved first brackets (4x+16).

Put x = 4 then (4*8+16) = 48.

Then next brackets (x+16). Put again x = 8 then (8+16) = 24.

Now please see the sign between both the brackets that is divide sign, so please now divide 48/28 = 2.

Thank You.

Hi @Seema.

x = 8.
(4x+16)/(x+16) = 4*8+16.

= 24+16.
= 48.
= 8+16 = 24.
= 48/24.
= 2.

Can any one tell help me to solve (4x+16) / (x+16) this problem?

For all those who have a doubt how 5/2 came.

2+1/2 = 4/2+1/2 = 5/2.

Father's age should be 3x and not 4x as some people are saying. It says Father is aged three times more than his son Ronit.

So, it should be x and 3x and not x+3x.

Nothing to confuse .. Let take sons age as x. Then father age will become 4x as given in question (father's age is three times more than sons age read carefully its not fathers age is three times to sons age.. If three times to sons age means father age will become 3x).

After 8 yrs father age is 2 1/2 of sons age..So,

4x+8 = 2 1/2(x+8).
4x+8 = 5/2(x+8).
2(4x+8) = 5(x+8).
8x+16 = 5x+40.
3x = 24.
x = 8.

I am so confused, after I did not get the answer.

Please anyone explain this problem clearly.